Posted by **Sandy** on Monday, October 14, 2013 at 1:12pm.

State the rule for this pattern:

1,5,11,19

What about: subtract the last number and add 2 to the next term

- Math -
**Steve**, Monday, October 14, 2013 at 2:28pm
using your rule, do you get the given sequence?

Here's a method of attack:

You know that 1+3+5+...+n = n^2

adding up the 1st n odd numbers gives you n^2.

In your sequence, you have

1 1+4 1+4+6 1+4+6+8

which looks very similar. So, expect something with n^2 in it.

1 = 2^2-3

5 = 3^2-4

11 = 4^2-5

19 = 5^2-6

So, it looks to me like

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

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