A function … from the set of natural numbers to integers defined by … is

Functions

JEE Main 2003 · Annual, Paper 1 · Q3789

MathematicsMedium110×since 2002Q3789

A function

f

from the set of natural numbers to integers defined by

$f\left( n \right) = \left\{ {\matrix{ {{{n - 1} \over 2},\,when\,n\,is\,odd} \cr { - {n \over 2},\,when\,n\,is\,even} \cr } } \right.

$ is

JEE Main 2003 · Annual, Paper 1 · Q3789

MathematicsMedium110×since 2002Q3789

A function

f

from the set of natural numbers to integers defined by

$f\left( n \right) = \left\{ {\matrix{ {{{n - 1} \over 2},\,when\,n\,is\,odd} \cr { - {n \over 2},\,when\,n\,is\,even} \cr } } \right.

$ is