Question
If f is a function satisfying for all such that and , find the value of n.
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Text solutionVerified
Solution: We know,
It means, can be to satisfy the given condition.
Then, .
We are given,
So, the series will be,
It will form a GP with
Now, Sum of first n terms in a GP,
We are given,
So, value of is .
It means, can be to satisfy the given condition.
Then, .
We are given,
So, the series will be,
It will form a GP with
Now, Sum of first n terms in a GP,
We are given,
So, value of is .
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Question Text | If f is a function satisfying for all such that and , find the value of n. |
Answer Type | Text solution:1 |
Upvotes | 150 |