Question

What is the value of the fourth term in a geometric sequence for which ay =

10 and r=0.5?
Answer here
I
SUBMIT

Answer 1

a₄ = 1.25

Explanation:

Given that,

First term of GP, a₁ = 10

The common ration of GP, r = 0.5

The nth term of the GP is given by :

`a_4=a_1r^(n-1)\\\\a_4=a_1r^3\\\\a_4=10* (0.5)^3\\\\a_4=10* 0.125\\\\a_4=1.25`

So, the fourth term of the GP is 1.25.