Question

Check whether - 256 is the term of the gp is -4 , -8 , -16

Answer 1

Answer:

given that,

a=-4

r=2

let -256 be nth term of GP

an=ar^n-1

-256=-4(2)^n-1

-256/-4=2^n-1

64=2^n-1

2^6=2^n-1

6=n-1

n=6+1

n=7

yes, -256 is 7th term of the GP.