Question

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

Answer 1

`-1,2, 2/3, -3/4, 4/5, - 5/6`

Explanation:

Given: `a_n = (-1)^n(n/(n+1))`

Let `n = 1: (-1)^1(1/(1+1)) = -1/2`

Let `n = 2: (-1)^2(2/(2+1)) = 2/3`

Let `n = 3: (-1)^3(3/(3+1)) = -3/4`

Let `n = 4: (-1)^4(4/(4+1)) = 4/5`

Let `n = 5: (-1)^5(5/(5+1)) = -5/6`