JEE Main 202329 Jan, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002Suppose fff is a function satisfying f(x+y)=f(x)+f(y)f(x + y) = f(x) + f(y)f(x+y)=f(x)+f(y) for all x,y∈Nx,y \in Nx,y∈N and f(1)=15f(1) = {1 \over 5}f(1)=51. If ∑n=1mf(n)n(n+1)(n+2)=112\sum\limits_{n = 1}^m {{{f(n)} \over {n(n + 1)(n + 2)}} = {1 \over {12}}}n=1∑mn(n+1)(n+2)f(n)=121, then mmm is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
