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Functions question

2023 · 29 Jan · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 29 Jan · Shift 1 · Q42

Functions question

2023 · 29 Jan · Shift 1 · Q42

JEE MainMathematicsFunctionsNumerical+4 / −1

Suppose

f

is a function satisfying

f(x + y) = f(x) + f(y)

for all

x,y \in N

and

f(1) = {1 \over 5}

. If

\sum\limits_{n = 1}^m {{{f(n)} \over {n(n + 1)(n + 2)}} = {1 \over {12}}}

, then

m

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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