(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

consider the following four equations:

1) 1=1

2) 2 + 3 + 4 = 1 + 8

3) 5 + 6 + 7 + 8 + 9 = 8 + 27

4) 10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64

conjecture the general formula suggested by these four equations and prove

your conjecture

2. Relevant equations

3. The attempt at a solution

I know the left side has n + (n+1) numbers,

and the right side has the last number occuring the in next equation,

i also see that the numbers on the right side come from an k^3 number.

but how would i write this in a general formula which would be sufficient to

satisfy all the equations? because to me it seems like a recursive definition but

i don't quite clearly understand how i would write out an answer for this....

and also what exactly am i supposed to write down to solve this??

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# Homework Help: Properties of integers:math induction

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