A) A.P
B) G.P
C) H.P
D) none of these
Correct Answer: C
Solution :
[c] \[f(k)+{{a}_{k}}=\sum\limits_{r=1}^{n}{{{a}_{r}}}=\lambda \,(say)\] \[\therefore f(k)=\lambda -{{a}_{k}}\] \[\Rightarrow \frac{{{f}_{(k)}}}{{{a}_{k}}}=\frac{\lambda }{{{a}_{k}}}-1\] \[\therefore \frac{f(1)}{{{a}_{1}}},\frac{f(2)}{{{a}_{2}}},...,\frac{f(n)}{{{a}_{n}}}\] are in A.P. So \[\frac{{{a}_{1}}}{f(1)},\frac{{{a}_{2}}}{f(2)},...\frac{{{a}_{n}}}{f(n)}\]are in H.P.You need to login to perform this action.
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