Question

Find the 8th term in the
sequence
- 1 / -1, -2, -4,...

Answer 1

The 8th term in the sequence is -128

Explanation:

The given series is a geometric progression (G.P) with the starting term as -1.

Let the starting term be a and the common ratio be r.

a = -1

r = 2

The formula for the nth term of a geometric progression (G.P) :

`nth\:term=ar^(n-1)`

n = 8

`The\:8th\:term=ar^(7)=(-1)*2^(7)=-128`

Therefore, the 8th term in the sequence is -128