Problem 16: Nice Numbers I

Heuristics to highlight

Solve a simpler problem (smaller numbers), Look for patterns, Use equations/algebra

A ‘nice’ number is a number that can be expressed as the sum of a string of two or more consecutive positive integers. Determine which of the numbers from 50 to 70 inclusive are nice.

(from Derek Holton)



Suitable hints for Pólya Stages I, II and IV


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