Question

What is the fifth term of a sequence whose first term is 5 and whose common ratio is 3

Answer 1

It's a geometric sequence.

The formula of a general term of a geometric sequence:

`a_n=a_1r^(n-1)`

Substitute

`a_1=5,\ r=3,\ n=5`

`a_5=5(3^(5-1))=5(3^4)=5(81)=405`

Answer: The fifth term is equal 405.