Question

How do you find the first five terms given `a_1=6` and `a_(n+1)=a_n+n+3`?

Answer 1

First five term are `{6,10,15,21,28,......}`

Explanation:

As `a_(n+1)=a_n+n+3`

`a_2=a_1+1+3=6+1+3=10`

`a_3=a_2+2+3=10+2+3=15`

`a_4=a_3+3+3=15+3+3=21`

`a_5=a_4+4+3=21+4+3=28`

Hence first five term are `{6,10,15,21,28,...........}`