Question

How do you find the explicit formula for the following sequence 1, 10, 100, 1000, 10000, . . . ?

Answer 1

`10^(n-1)`

Explanation:

The sequence can be written as
`10^0, 10^1, 10^2, 10^3,......`

So the first term is raised to the power `0`, the second to the power `1`, and so on. Therefore the `n`th term will be `10^(n-1)`