Question

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

Answer 1

Answer:

The 8th term in the sequence is -128

Step-by-step 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

$The\:8th\:term=ar^{7}=(-1)\times2^{7}=-128$

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