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1542 posts

Uber Geek

Topic # 236001 13-May-2018 14:17

n(n+1) + 2(n+1) over 2 = (n+1) (n+2) over 2

Can someone explain the steps taken in between?

Thanks!

## palmypete

18 posts

Geek

Subscriber

n(n+1) + 2(n+1) over 2 = (n+1) (n+2) over 2

Assuming all of it is over 2 not just the "2(n+1) over 2"

(n+1) is common factor. so n(n+1) + 2(n+1) becomes

(n+1) (n+2)

Then just chuck it all over 2 to get

(n+1) (n+2) over 2

## yitz

1304 posts

Uber Geek

As above reply, what you have is

xy + xz = x(y+z)

if it makes looking at it any simpler.

(with a factor of half out the front)

1542 posts

Uber Geek

Ahh, thank you both, that makes sense now.

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