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.
2a+c > b (Q AM > HM)
Now, an + cn = 2 > 2
> 2(2)n
an + cn > 2bn