find the next three terms 2,3,9, 23, 48, 87

3 answers

Take a look at the differences.
2,3,9,23,48,87
1,6,14,25,39
5,8,11,14
3,3,3
The3rd difference is constant, so you need to find a cubic polynomial. I came up with

1/2 (n^3-n^2-2n+6)
or

3 + (n-2)(n)(n+1)/2
Got it, thanks!

How about this:

Find the number of segments required for each of the next three terms.

1 box, 2 boxes, 3 boxes, 4 boxes, ____,____,____
I know the answer is 16, 19, and 22. But I keep getting 15 for the first one?
what do segments have to do with boxes?