If the function satisfies the relation for all . Further if and , then the value of is:
Explanation for the correct option
The given summation can be elaborated as
According to the given condition and , we can evaluate the following values,
and so on.
Replacing these values in , we get .
Thus, a Geometric Progression is formed where
Upon comparison of LHS and RHS,
Therefore, option (A) is the correct answer i.e.