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If (a^n + b^n)/(a^n-1 + b^n-1) is the A.M. between a and b, then find the value of n.

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+3 votes
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asked Jan 19, 2017 in Mathematics by Rohit Singh (61,782 points) ● 35 ● 133 ● 356

If (an + bn)/(an-1 + bn-1) is the A.M. between a and b, then find the value of n.

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+4 votes
answered Jan 19, 2017 by vikash (21,277 points) ● 4 ● 19 ● 70
selected Jan 19, 2017 by Rohit Singh
 
Best answer

Solution:

We know that the arithmetic mean of ‘a’ and ‘b’ is (a+b)/2

so,

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