Posted by **Jillian** on Wednesday, April 4, 2012 at 6:30am.

I was given a question on number patterns. The queston states tha I must keep adding one table to increase the amount of seatings by keeping it in a square formation. I need to giv a general formula but I am struggling with the sequence

- Maths -
**Steve**, Wednesday, April 4, 2012 at 10:57am
Hmm. Not sure just what's wanted, but recall that

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

so, if after each increase there are

n^2+2n tables, then you need to add 1 more to keep it a perfect square.

So, the sequence would be

3,7,15,24,35,...

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