Home
Class 12
MATHS
If f:R to R is defined as f(x+y)=f(x)+f(...

If `f:R to R` is defined as `f(x+y)=f(x)+f(y) AA x,y in R` and `f(1) = 7`, find `sum_(r=1)^(n)f(r )`.

Text Solution

Verified by Experts

The correct Answer is:
(7n(n+1))/(2)`
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Matrices)|58 Videos
  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Addition of vectors)|26 Videos
  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos
  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

If f : R to R is defined as f (x+ y) = f (x) + f (y) AA x, y in R and f (1) = 7, then find sum _(r =1) ^(n) f (r).

If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

The function f: R to R defined by f(x) =x-[x], AA x in R is

If f : R to R is continuous such that f(x + y) = f(x) + f(y) x in R , y in R and f(1) = 2 then f(100) =

If f: R to R is defined by: f(x-1) =x^(2) + 3x+2 , then f(x-2) =

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is