Question

Study the following pattern:

1 × 1 + 2 × 2 = $\frac{2\times 3\times 5}{6}$
1 × 1 + 2 × 2 + 3 × 3 = $\frac{3\times 4\times 7}{6}$
1 × 1 + 2 × 2 + 3 × 3 + 4 × 4 = $\frac{4\times 5\times 9}{6}$
By observing the above pattern, write next two steps.

Answer 1

The next two steps are as follows:
1 × 1 + 2 × 2 + 3 × 3 + 4 × 4 + 5 × 5 = $\frac{5\times 6\times 11}{6}$ = 55
1 × 1 + 2 × 2 + 3 × 3 + 4 × 4 + 5 × 5 + 6 × 6 = $\frac{6\times 7\times 13}{6}$ = 91