Sequence And Series Question 267

Question: If A.M. of two terms is 9 and H.M. is 36, then G.M. will be

[RPET 1995]

Options:

A) 18

B) 12

C) 16

D) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

(A.M.) (H.M.) $ =ab={{(G.M)}^{2}} $
$ \Rightarrow $ $ 9\ .\ 36={{(G.M)}^{2}} $
$ \Rightarrow $ $ =\frac{n(n+1)(3n^{2}+7n+2)}{12} $ .