Observe that 1 = 1, 1 4 = (1 + 2), 1 4 + 9 = 1 + 2 + 3, 1 4 + 9 16 = (1 + 2 + 3 + 4), 1
Chapter 5, Problem 4(choose chapter or problem)
Observe that1 = 1,
1 ? 4 = ?(1 + 2),
1 ? 4 + 9 = 1 + 2 + 3,
1 ? 4 + 9 ? 16 = ?(1 + 2 + 3 + 4),
1 ? 4 + 9 ? 16 + 25 = 1 + 2 + 3 + 4 + 5.
Guess a general formula and prove it by mathematical induction.
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