Janjang | Mathematics - Quizizz

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Janjang

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12th grade

Mathematics

16 hours ago by

20 questions

Q.

Tentukan sama ada setiap yang berikut merupakan janjang aritmetik.

5 , 8 , 11 , 14 , ...

answer choices

Ya

Tidak

Q.

Nyatakan sebutan seterusnya bagi janjang aritmetik berikut: 4.5, 6.6, 8.7, ...

answer choices

6.5

10.8

-10.8

-6.6

Q.

$\frac{2}{3},\ 1\frac{1}{3},\ 2,\ ...$ ialah satu janjang aritmetik. Nyatakan beza sepunya

answer choices

1

$\frac{1}{3}$

$\frac{2}{3}$

$-\frac{2}{3}$

<p>1</p>

alternatives

<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>

<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{2}{3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>

<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>−</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">-\frac{2}{3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord">−</span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>

Q.

Nyatakan sebutan pertama dan beza sepunya bagi :

-5, 3, 11, ... seterusnya cari T₁₀.

answer choices

a = -5, d = 8, T₁₀ = 67

a = 5, d = 8, T₁₀ = 60

a = -3, d = 10, T₁₀ = 77

a = -5, d = -8, T₁₀ = 67

Q.

Diberi tiga subutan pertama bagi suatu janjang aritmetik ialah 3, 8, 13, ... Nyatakan hasil tambah 10 sebutan pertama.

answer choices

A. 45

B. 48

C. 53

D. 60

Q.

Diberi S_n = 2n² - 5n. Cari sebutan pertama.

answer choices

A. -1

B. -2

C. -3

D. -4

Q.

Bagaimanakah cara untuk kita menentukan samada sesebuah janjang itu merupakan janjang geometri atau sebaliknya

answer choices

lihat kepada beza sepunya

lihat kepada sebutan pertama

tak payah lihat apa-apa

lihat kepada nisbah sepunya

Q.

apakah formula untuk mencari sesuatu sebutan untuk janjang geometri

answer choices

T_n = ar^n-1

T_n = a+(n-1)d

Q.

Cari sebutan ke-n bagi janjang geometri yang berikut:

0.1, 0.01, 0.001, ...

answer choices

Tn= $\left(0.1\right)^n$

Tn= $\left(0.1\right)^{n-1}$

Tn= $2^{n-3}$

Tn= $4\left(10\right)^{n-6}$

<p>Tn=<span class="katex-container" data-idx="1" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msup><mrow><mo fence="true">(</mo><mn>0.1</mn><mo fence="true">)</mo></mrow><mi>n</mi></msup></mrow><annotation encoding="application/x-tex">\left(0.1\right)^n</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.054292em;vertical-align:-0.25em;"></span><span class="minner"><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">0</span><span class="mord">.</span><span class="mord">1</span><span class="mclose delimcenter" style="top:0em;">)</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.804292em;"><span style="top:-3.2029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight">n</span></span></span></span></span></span></span></span></span></span></span></span> </span> </p>

alternatives

<p><span>Tn=<span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msup><mrow><mo fence="true">(</mo><mn>0.1</mn><mo fence="true">)</mo></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup></mrow><annotation encoding="application/x-tex">\left(0.1\right)^{n-1}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.204008em;vertical-align:-0.25em;"></span><span class="minner"><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">0</span><span class="mord">.</span><span class="mord">1</span><span class="mclose delimcenter" style="top:0em;">)</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.954008em;"><span style="top:-3.2029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">n</span><span class="mbin mtight">−</span><span class="mord mtight">1</span></span></span></span></span></span></span></span></span></span></span></span></span> </span> </span></p>

<p>Tn=<span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msup><mn>2</mn><mrow><mi>n</mi><mo>−</mo><mn>3</mn></mrow></msup></mrow><annotation encoding="application/x-tex">2^{n-3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.864108em;vertical-align:0em;"></span><span class="mord"><span class="mord">2</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.864108em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">n</span><span class="mbin mtight">−</span><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span></span></span></span> </span> </p>

<p>Tn=<span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>4</mn><msup><mrow><mo fence="true">(</mo><mn>10</mn><mo fence="true">)</mo></mrow><mrow><mi>n</mi><mo>−</mo><mn>6</mn></mrow></msup></mrow><annotation encoding="application/x-tex">4\left(10\right)^{n-6}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.204008em;vertical-align:-0.25em;"></span><span class="mord">4</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">1</span><span class="mord">0</span><span class="mclose delimcenter" style="top:0em;">)</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.954008em;"><span style="top:-3.2029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">n</span><span class="mbin mtight">−</span><span class="mord mtight">6</span></span></span></span></span></span></span></span></span></span></span></span></span> </span> </p>

Q.

Sn bermaksud

answer choices

Bilangan sebutan

Sebutan ke-n

Hasil tambah bilangan sebutan

Sebutan terakhir

Q.

$15,\ 18,\ 11,\ 14,...$ Tentukan sama ada setiap yang berikut merupakan janjang aritmetik atau tidak

answer choices

ya

bukan

Q.

Nyatakan rumus sebutan ke -n bagi janjang aritmetik

answer choices

$T_n=a+\left(n-1\right)d$

$T_n=a-\left(n-1\right)d$

<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>T</mi><mi>n</mi></msub><mo>=</mo><mi>a</mi><mo>+</mo><mrow><mo fence="true">(</mo><mi>n</mi><mo>−</mo><mn>1</mn><mo fence="true">)</mo></mrow><mi>d</mi></mrow><annotation encoding="application/x-tex">T_n=a+\left(n-1\right)d</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.13889em;">T</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.13889em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight">n</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.66666em;vertical-align:-0.08333em;"></span><span class="mord mathdefault">a</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord mathdefault">n</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mclose delimcenter" style="top:0em;">)</span></span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mord mathdefault">d</span></span></span></span></span> </span> </p>

alternatives

<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>T</mi><mi>n</mi></msub><mo>=</mo><mi>a</mi><mo>−</mo><mrow><mo fence="true">(</mo><mi>n</mi><mo>−</mo><mn>1</mn><mo fence="true">)</mo></mrow><mi>d</mi></mrow><annotation encoding="application/x-tex">T_n=a-\left(n-1\right)d</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.13889em;">T</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.13889em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight">n</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.66666em;vertical-align:-0.08333em;"></span><span class="mord mathdefault">a</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord mathdefault">n</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mclose delimcenter" style="top:0em;">)</span></span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mord mathdefault">d</span></span></span></span></span> </span> </p>

Q.

Diberi sebutan ke-n bagi suatu janjang aritmetik ialah
$T_n=7-2n$ . Cari sebutan kedua

answer choices

4

3

2

Q.

Tentukan sama ada jujukan yang berikut ialah janjang geometri atau bukan:

0.03, 0.003, 0.0003, ...

answer choices

Ya, Janjang Geometri. Nilai r = 10

Ya. Janjang Geometri. Nilai r = 0.1

Bukan janjang geometri

Q.

Tentukan sama ada jujukan berikut ialah janjang goemetri atau bukan

4, 12, 36, 108, ...

answer choices

Bukan janjang geometri

Ya, janjang geometri. Nilai r = 0.3

Ya, janjang geometri. Nilai r = 3

Q.

Cari nisbah sepunya dan sebutan ke-5 bagi janjang geometri 4, 6, 9, ...

answer choices

r = 0.5 , T₅ = 20.25

r = 5 , T₅ = 2.025

r = 1.5 , T₅ = 20.25

Q.

Tentukan formula hasil tambah janjang ini?

answer choices

ketidakterhinggaan

aritmetik

geometrik

entah

Q.

apakah formula untuk mencari sesuatu sebutan untuk janjang geometri

answer choices

T_n = ar^n-1

T_n = a+(n-1)d

Q.

Diberi bahawa 9, 3, 1, …, ialah satu janjang

geometri.Cari sebutan kelima bagi janjang itu

answer choices

1/2

1/3

1/9

Q.

Nisbah sepunya bagi JG:

28, 14, 7, 3.5...

answer choices

2

1/2

-14

-7

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