How do you find the indicated term of the geometric sequence where a_4=16, r=0.5, n=8?

1 Answer
Apr 19, 2017

a_8=1. See explanation.

Explanation:

In the given sequence we have:

a_4=16, r=1/2

This is a geometric sequence, so we can write that:

a_{n+1}=a_n*r

Using this identity we get:

a_5=a_4*r

a_6=a_5*r=a_4*r^2

a_7=a_6*r=a_4*r^3

a_8=a_7*r=a_4*r^4

If we substiute the given values we get:

a_8=16*(1/2)^4=16*1/16=1

Answer: The eighth term of this sequence is a_8=1.