If $f(x+1)+f(x-1)=2 f(x)$ and $f(0)=0$, then $f(n)$, $n \in N$, is

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f(x+1)+f(x-1)=2 f(x)

and

f(0)=0

, then

f(n)

n \in N

, is

View answer and explanation

Correct option: A

n f(1)

Option A (

n f(1)

) is correct because the function follows a linear progression based on the given recurrence relation and initial condition.

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