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If `f:RR to RR` satisfies `f (x+y) =f (x) + f (y)` for all x,y `in RR and f(1) =7,` then the value of `sum _(r=1) ^(n) f(r)` is-

A

`(7n)/(2)`

B

`(7n (n+1))/(2)`

C

`(7(n+1))/(2)`

D

`7n (n+1)`

Text Solution

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The correct Answer is:
B
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