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If f(x+y)=f(x).f(y) and f(1)=4.Find su...

If `f(x+y)=f(x).f(y) and f(1)=4`.Find `sum_(r=1)^n f(r)`

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To solve the problem, we start with the functional equation given: 1. **Given**: \( f(x+y) = f(x) \cdot f(y) \) and \( f(1) = 4 \). 2. **Finding \( f(2) \)**: - Substitute \( x = 1 \) and \( y = 1 \): \[ f(1+1) = f(1) \cdot f(1) \implies f(2) = f(1) \cdot f(1) = 4 \cdot 4 = 16. ...
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