10th
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Mathematics

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Dr. Mahesh K.B.

4 years

Mathematics

10th

grade

CBSE-X- Mathematics - Arithmetic Progression

Dr. Mahesh K.B.

31
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15 questions

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1. Multiple Choice
30 seconds
1 pt
The next term of an AP $\sqrt{7}$ , $\sqrt{28}$ , $\sqrt{63}$ ,...... is
$\sqrt{70}$
$\sqrt{84}$
$\sqrt{98}$
$\sqrt{112}$
2. Multiple Choice
30 seconds
1 pt
If the
$n^{th}$ term of an AP is $\left(2n+1\right),$ then the sum of its first three terms is
$6n+3$
$15$
$12$
$21$
3. Multiple Choice
30 seconds
1 pt
If $4,\ x_1,\ x_2,\ x_3,\ 28$ are in AP, then $x_3$ is ____
19
23
22
cannot be determined.
4. Multiple Choice
30 seconds
1 pt
The sum of first $n$ terms of an AP is $\left(3n^2+6n\right)$ . The common difference $\left(d\right)$ of the AP is ________
$6$
$9$
$15$
$-3$
5. Multiple Choice
30 seconds
1 pt
The $5^{th}$ term of an AP is $-3$ and its common difference is $-4$ . The sum of its first 10 terms is ______
$50$
$-50$
$30$
$-30$
6. Multiple Choice
30 seconds
1 pt
The 13^th term of an AP is 4 times its 3^rd term. If its 5^th term is 16, then the sum of its first ten terms is _______
150
175
160
135
7. Multiple Choice
30 seconds
1 pt
The common difference of the AP $\frac{1}{p}$ , $\frac{1-p}{p}$ , $\frac{1-2p}{p}$ , ........ is
$p$
$-p$
$-1$
$1$
8. Multiple Choice
30 seconds
1 pt
Which term of an AP 72, 63, 54, ...... is 0 ?
8^th
9^th
10^th
11^th
9. Multiple Choice
30 seconds
1 pt
The sum of first $n$ odd natural numbers is ____
$2n-1$
$2n+1$
$n^2$
$n^2-1$
10. Multiple Choice
30 seconds
1 pt
The first and last terms of an AP are 1 and 11. If the sum of its terms is 36, then the number of terms will be _______
5
6
7
8
11. Multiple Choice
30 seconds
1 pt
Formula to find sum of n terms in an AP is ________
$S_n=a+\left(n-1\right)d$
$S_n=\frac{n}{2}\left[a+\left(n-1\right)d\right]$
$S_n=\frac{n}{2}\left[2a+\left(n-1\right)d\right]$
$S_n=\frac{n}{2}\left[a+\left(n+1\right)d\right]$
12. Multiple Choice
30 seconds
1 pt
The sum of first 20 odd natural numbers is
100
210
400
420
13. Multiple Choice
30 seconds
1 pt
What is the common difference of an AP in which $a_{18}-a_{14}=32?$
$8$
$-8$
$4$
$-4$
14. Multiple Choice
30 seconds
1 pt
The 8th term of an AP is 17 and 14th term of an AP is 29. The common difference of the AP is _______
$3$
$2$
$5$
$-2$
15. Multiple Choice
30 seconds
1 pt
Which term of the AP 21, 42, 63, 84, . . . . is 210?
$9^{th}$
$10^{th}$
$11^{th}$
$12^{th}$
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