Consider the table 1 = 1
2+ 3 + 4 = 1+8
5 + 6 + 7 + 8 + 9 = 8 + 27
10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64
Guess the general law suggested by these examples, express it mathematical notation, and prove it.
2+ 3 + 4 = 1+8
5 + 6 + 7 + 8 + 9 = 8 + 27
10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64
Guess the general law suggested by these examples, express it mathematical notation, and prove it.