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??