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Question

Question: If a, b, c, d are in H.P., then-...

If a, b, c, d are in H.P., then-

A

an + cn> bn

B

an + cn> 2bn

C

an + cn> (2b)n

D

None of these

Answer

an + cn> 2bn

Explanation

Solution

If a, b, c, d are in H.P.; so a, b, c are in H.P.

a+c2\frac { a + c } { 2 } > b (Q AM > HM)

Now, an + cn = 2 > 2 > 2(2)n

an + cn > 2bn