Let f be a function satisfying f(x+y)=f(x) f(y) for all x, y R . If f(1)=3 , then _ r=1 ^…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let \(\text { f }\) be a function satisfying \(f(x+y)=f(x) f(y)\)for all \(x, y \in R\). If \(f(1)=3\), then \(\sum_{r=1}^{\pi} f(r)\) is equal to
- \(\frac{3}{2}\left(3^{n}-1\right)\)
- \(\frac{3}{2} n(n+1)\)
- \(3^{n+1}-3\)
- none of these
Answer
(A) 3 2 (3^ n -1 )
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