Question

In GP the 3rd term is 24 and 65th term is 192.Find the 10th term

Answer 1

Answer:

Step-by-step explanation:

we know that an = ar^n-1.

Given that 3rd term is 24

a3 = ar^2 = 24  (1)

Given that 6th term is 192

a6 = ar^5 = 192  (2)

On dividing (2) by (1), we get

r^3 = 8

r = 2   --- (3).

Substitute (3) in (1), we get

a * (2)^2 = 24

4a = 24

a = 6.

The 10 th term a10 = 6 * (2)^9

                              = 3072.