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SEAMO 2027 - Paper E - SET 05 - Self-study Question 24

SEAMO · SEAMO 2027 - Paper E - SET 05 - Self-study

Question 24

Prove that each number in the sequence $12,1122,111222,\ldots$ is a product of two consecutive whole numbers.

In the nth term there are n consecutive digits 1 followed by n consecutive digits 2, for every positive integer n. Submit a proof; this item is marked manually.