Solve the problem using inductive reasoning.When the numbers in the sequence of n-agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders.

What will be an ideal response?


The pattern is 1, 0, 4, 6, 6, 4, 0, 1, 1, 0, 4, 6, 6, 4, 0, 1, . . ..

Mathematics

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