Prove that the sum of the n arithmetic means inserted between two | Filo
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Class 11

Math

Algebra

Sequences and Series

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Prove that the sum of the n arithmetic means inserted between two quantities is n times the single arithmetic mean between them.

Solution: a, , b be is an A.P. of terms where are n A.M.'s between a and b
Now .


n (sngle A.M. of a and b).
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