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Prove that the sum of n arithmetic mean...

Prove that the sum of `n` arithmetic means between two numbers in `n` times the single A.M. between them.

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STATEMENT-1 : The sum of 100 arithmetic means between two given number 1000 and 3016 is 200800 and STATEMENT-2 : The sum of n arithmetic means between two given numbers is n^(th) power of their single A.M.

STATEMENT-1 : The sum of 100 arithmetic means between two given number 1000 and 3016 is 200800 and STATEMENT-2 : The sum of n arithmetic means between two given numbers is n^(th) power of their single A.M.