1. ## Algebra help

Could someone give me a hand with this one?

Given that n[squared]+n=2k, how can (n+1)[squared]+(n+1) be written as a multiple of 2?

Possible solutions:
2(k+1)
2(n+1)
2(n+k)
2(n+k+1)

2. Originally Posted by gretchen
Could someone give me a hand with this one?

Given that n[squared]+n=2k, how can (n+1)[squared]+(n+1) be written as a multiple of 2?

Possible solutions:
2(k+1)
2(n+1)
2(n+k)
2(n+k+1)
Expand it and see from there.

n^2 +n = 2k -----------(1)

(n+1)^2 +(n+1)
= (n^2 +2n +1) +(n+1)
= n^2 +2n +1 +n +1
= (n^2 +n) +2n +2
= 2k +2n +2