Problem

The numbers 1, 3, 6, 10, 15, . . . are called triangular numbers since they can be display...

The numbers 1, 3, 6, 10, 15, . . . are called triangular numbers since they can be displayed as shown.

The numbers 1, 4, 9, 16, 25, . . . are called square numbers since they can be displayed as shown.

The numbers 1, 5, 12, 22, 35, . . . are called pentagonal numbers since they can be displayed as shown.

(a) Using inductive reasoning, find the next three triangular numbers.

(b) Using inductive reasoning, find the next three square numbers.

(d) Using inductive reasoning, find the first four hexagonal numbers.

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Solutions For Problems in Chapter 1.1

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