Question

Find 8th and 10th of G.P whose first term and common ratio are 6 and 2 respectively​

Answer 1

a₈ = 768 , a₁₀ = 3072

Explanation:

The nth term of a GP is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 2 , then

a₈ = 6 ×
`2^(7)` = 6 × 128 = 768

a₁₀ = 6 ×
`2^(9)` = 6 × 512 = 3072