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If 2f(x) = f(2x), 3f(x) = f(3x), 4f(x) =...

If `2f(x) = f(2x), 3f(x) = f(3x), 4f(x) = f(4x)…….` etc. then `f(1) + f(2) + f(3) + ……..+ f(n)` equals to where `f(1) = 1` :

A

n(n+1)

B

0

C

`n(n+1)/2`

D

n!

Text Solution

Verified by Experts

The correct Answer is:
C
f(1) = 1
f(2) = 2
f(3) = 3
f(4) = 4
… … …
f(n) = n
`therefore f(1)+f(2)+f(3)+…+f(n) = n(n+1)/2`
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