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## Mathematics

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10th

grade

64%

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math teacher

4 years

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40 questions

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- 1. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 11, 14, 17, 20, …

AS

GS

- 2. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) -4, 12, -36, 108

AS

GS

- 3. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) -34, -26, -18, -10

AS

GS

- 4. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 1, 5, 25, 125, ...

AS

GS

- 5. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 512, 474, 436, 398,...

AS

GS

- 6. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 4, 8, 16, 32, ...

AS

GS

- 7. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 32, 28, 24, 20, ...

AS

GS

- 8. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 3/2, 2, 5/2, 3, ...

AS

GS

- 9. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 4, 16, 64, 256, ...

AS

GS

- 10. Multiple Choice2 minutes1 pt
Identify whether AS ( arithmetic sequence ) or GS ( geometric sequence ) 0, 3, 6, 9,...

AS

GS

- 11. Fill in the Blank2 minutes1 pt
Find the common ratio of the GS. : −1, 6, −36, 216, ...

- 12. Fill in the Blank2 minutes1 pt
Find the common ratio of the given GS :. −2, −4, −8, −16, ...

- 13. Fill in the Blank2 minutes1 pt
Find the common ratio of the GS . −3, −15, −75, −375, ...

- 14. Fill in the Blank2 minutes1 pt
Find the common ratio of the GS : −2, 1/2 , − 1/8 , 1/32 , ...

- 15. Fill in the Blank2 minutes1 pt
Find the common ratio of the GS . 0.5, 1, 2, 4, ...

- 16. Fill in the Blank2 minutes1 pt
What is the eleventh term of the geometric sequence 3, 6, 12, 24, ... ?

- 17. Fill in the Blank2 minutes1 pt
What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?

- 18. Fill in the Blank2 minutes1 pt
What is the sum of the first eight terms of the geometric sequence 5, 15, 45, ... ?

- 19. Fill in the Blank2 minutes1 pt
The first term of a geometric sequence is 5 and the sixth term is 160.

What is the common ratio?

- 20. Fill in the Blank2 minutes1 pt
The fourth term of a geometric sequence is 27 and the seventh term is 1. What is the first term?

- 21. Fill in the Blank2 minutes1 pt
The first term of a geometric sequence is 192 and the fifth term is 0.75. What is the common ratio?

- 22. Fill in the Blank2 minutes1 pt
Add up all the terms of the following

__infinite__geometric sequence: 1/3, -1/9, 1/27, -1/81, ... - 23. Fill in the Blank2 minutes1 pt
How many terms of the geometric sequence

2, 8, 32, 128,...

are required to give a sum of 174,762 ?

- 24. Fill in the Blank2 minutes1 pt
What is the common ratio of the GS :

**24, 12, 6, 3, 3/2, 3/4, . . .** - 25. Fill in the Blank2 minutes1 pt
Find the common ratio of the GS : 3.5, 10.5, 31.5, 94.5, 283.5, ...

- 26. Fill in the Blank2 minutes1 pt
Find the common ratio of the GS : 4/7, 2/7, 1/7, 1/14, ...

- 27. Fill in the Blank2 minutes1 pt
Identify the common ratio : -3/4, -1/2, -1/3, -2/9, ...

- 28. Fill in the Blank2 minutes1 pt
A gardener wanted to reward a boy for his good deeds by giving some mangoes. He gave the boy two choices. He could either have 1000 mangoes at once or he could get 1 mango on the first day, 2 on the second day, 4 on the third day, 8 mangoes on the fourth day and so on for ten days. How many mangoes will he get if he choose the second option?

- 29. Fill in the Blank2 minutes1 pt
In a GS 729, 243, 81,… find a

_{7}. - 30. Fill in the Blank2 minutes1 pt
Find the number of terms in the following GS : 4, 8, 16,…,8192 ?

- 31. Fill in the Blank2 minutes1 pt
How many terms are there in the GS : 1/3, 1/9, 1/27,... 1/2187

- 32. Fill in the Blank2 minutes1 pt
In a GS the 9

^{th}term is 32805 and 6^{th}term is 1215. Find the common ratio. - 33. Fill in the Blank2 minutes1 pt
Find the 10

^{th}term of a GS whose 8^{th}term is 768 and the common ratio is 2. - 34. Fill in the Blank2 minutes1 pt
A man joined a company as Assistant Manager. The company gave him a starting salary of ₹60,000 and agreed to increase his salary 5% annually. What will be his salary after 5 years? ( Two decimal places )

- 35. Fill in the Blank2 minutes1 pt
Find the 9th term in each of the following geometric sequences ; {12, 18, 27, …}

- 36. Fill in the Blank2 minutes1 pt
1 − 4 + 16 − 64..., Find S

_{9. } - 37. Fill in the Blank2 minutes1 pt
a

_{ 1}= 4, a^{ }_{n}= 1024, r = −2. Find the sum. - 38. Fill in the Blank2 minutes1 pt
Find the geometric mean between 6 and 24.

- 39. Fill in the Blank2 minutes1 pt
Find the geometric mean between 1/2 and 32.

- 40. Fill in the Blank2 minutes1 pt
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m . With each swing, she travels along an arc that is half as long as the arc of the previous swing.

**What is the total length the monkey swings in her first 5 swings?** - Answer choicesTagsAnswer choicesTags
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