JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2026, Shift 2, Maths Q16

Question 16 of 75 in this shift, Maths question 16 of 25, Section A.

Let for some

\alpha\in\mathbb{R}

f:\mathbb{R}\to\mathbb{R}

be a function satisfying

f(x+y)=f(x)+2y^2+y+\alpha xy

for all

x,y\in\mathbb{R}

. If

f(0)=-1

and

f(1)=2

, then the value of

\sum_{n=1}^{5}(\alpha+f(n))

is:

Official answer

Option 2

NTA final key.