Question

How do you find the first five terms of each sequence `a_1=-3`, `a_(n+1)=a_n+n`?

Answer 1

First five terms are `{-3,-2,0,3,7}`

Explanation:

Às `a_1=-3` and `a_(n+1)=a_n+n`

therefore `a_2=a_1+1=-3+1=-2`

`a_3=a_2+2=-2+2=0`

`a_4=a_3+3=0+3=3`

`a_5=a_4+4=3+4=7`

Hence, first five terms are `{-3,-2,0,3,7}`