anikasears
anikasears anikasears
  • 01-12-2019
  • Mathematics
contestada

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

Respuesta :

rahul96 rahul96
  • 06-12-2019

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) :

[tex]nth\:term=ar^{n-1}[/tex]

n = 8

[tex]The\:8th\:term=ar^{7}=(-1)\times2^{7}=-128[/tex]

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

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