Question

A geometric sequence has these properties: a^1=4

a^n= 1/2a^n-1

What is term  a7

 of this sequence?

A)1/14

B) 1/8

C) 1/16

D) 1/12

Thank you

Answer 1

a7 = 4 * 1/2^(7 - 1)
a7 = 4 * (1/2)^6
a7 = 4 * 1/64
a7 = 4/64 reduces to 1/16