Question

Which expression represents the series 1 + 5 + 25 + 125 + 625?

Answer 1

`5^(n)`

Explanation:

Geometric progression, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

The first term of the Geometric progression is
`a` and common ratio is
`r`.

The series will look like
`a,ar,ar^(2),ar^(3)...`

With
`a=1` and
`r=5`,

we get
`1,5,25,625...`

This is the given sequence.

Any term can be calculated by
`ar^(n)=5^(n)`