Question

The formula for a geometric sequence is `an = 2(4)^(n-1)` what is the 3rd term of the sequence?

Answer 1

`a_3=32`

Explanation:

The given `color(blue)"nth term formula"` enables us to find any term in the specified geometric sequence.

To calculate the 3rd term, substitute n = 3 into the formula.

`rArra_3=2(4)^(3-1)=2xx4^2=32`