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Question

If f:RR satisfies f(x+y)=f(x)+f(y), for all x,yR and f(1)=7 ,then nr=1f(r) is



Correct Answer
A

7n(n+1)2

Your Answer
B

7n2
 

Your Answer
C

7(n+1)2
 

Your Answer
D

7n+(n+1)


Solution

The correct option is D

7n(n+1)2


f(x+y)=f(x)+f(y)Function should be f(x)=mxF(1)=7;  m=7,f(x)=7xnr=1f(r)=7n1r=7n(n+1)2
 

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