Arithmetic Progressions Quiz 14

Question 1

If there are 3 geometric means between 4 and 64 then the common ratio is

Accepted Answer

2

Answer

12

Answer

15

Answer

16

Question 2

The sum to infinity of $\frac{1}{7}+\frac{2}{7^2}+\frac{1}{7^3}+\frac{2}{7^4}+ ........$ is

Accepted Answer

$\frac{3}{16}$

Answer

$\frac{5}{48}$

Answer

$\frac{7}{24}$

Answer

$\frac{1}{5}$

Question 3

The least value of n so that $1 + 3 + 3^2 + 3^3 ...... n$ terms is greater than 2000 is &hellip;&hellip;&hellip;

Accepted Answer

8

Answer

7

Answer

9

Answer

6

Question 4

The greatest value of n so that $1 + 5 + 5^2 + 5^3 + ....... n$ terms is less than 4321 is &hellip;&hellip;&hellip;

Accepted Answer

6

Answer

7

Answer

9

Answer

8

Question 5

If the sum of the three numbers in a G.P is 26 and the sum of products taken two at a time is 156, then the numbers are

Accepted Answer

2, 6, 18

Answer

1, 4, 16

Answer

1, 5, 25

Answer

1, 8, 64

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