Let f(x)=2 x²-x-1 and S= Z:|f(n)| ≤ 800. Then, the value of Σ n S f(n) is equal to _ _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Morning shift · Q40

JEE Main 202227 Jul, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

f(x)=2 x^{2}-x-1

and

\mathrm{S}=\{n \in \mathbb{Z}:|f(n)| \leq 800\}

. Then, the value of

\sum\limits_{n \in S} f(n)

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 27 Jul, Morning shift · Q40

JEE Main 202227 Jul, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

f(x)=2 x^{2}-x-1

and

\mathrm{S}=\{n \in \mathbb{Z}:|f(n)| \leq 800\}

. Then, the value of

\sum\limits_{n \in S} f(n)

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.