Question

The first term of a GP is 3, and the sixth term is 3 divided by 32. Find the common ratio.

a. 1/4
b. 1/8
c. 1/16
d. 1/32

Answer 1

Using the formula and the given information, we can determine that the common ratio is 1/2.

None of the given options is correct

Step-by-step explanation:

To find the common ratio in a geometric progression (GP), we can use the formula:

nth term = (first term) * (common ratio)^(n - 1)

Using the given information, we can set up the equation:

3 * (common ratio)^(6 - 1) = 3/32

Simplifying, we get:

(common ratio)^5 = 1/32

To find the common ratio, we can rewrite 1/32 as a power of 2:

(common ratio)^5 = 2^(-5)

Now, we can compare the exponents:

common ratio = 2^(-5/5) = 1/2

Therefore, the common ratio is 1/2

None of the given options is correct