Question

Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...

Answer 1

14th term is 16,384

Explanation:

I. When
`a_(n) = a_(1)(r^(n-1) )`

If n = 14, a = 2 and r = 2

`a_(14) = 2(2^(14-1) )`

= 2(
`2^(13)`)

`a_(14)` = 16,384