Question

How do you write the first five terms of the sequence `a_n=1+(-1)^n`?

Answer 1

Solve the equation five times, using `n=1` to `n=5`

Explanation:

Essentially, this comes down to working out `(-1)^n` for #n=1,2,3,4,5.

`(-1)^n = -1` if `n` is any odd value.

`(-1)^n = +1` if `n` is any even value.

So, the terms will be

`a_1=1+(-1) = 0`

`a_2=1+(+1)=2`, and continuing

The sequence becomes 0, 2, 0, 2, 0