Find a recurrence and a closed form for k-figurate number

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Reference no: EM131239673

1. Considering the previous two exercises, . . .

(a) . . . draw the first four square numbers.

(b) . . . draw the first four triangular numbers.

(d) . . . find a recurrence and a closed form for the triangular numbers.

2. Challenge: Consider the k-figurate numbers. The first k-figurate number can be represented by a dot; the second k-figurate number can be represented by k dots that represent vertices of a k-gon. Find a recurrence and a closed form for the k-figurate numbers.

Reference no: EM131239673

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