Let a₁,a₂,a₃,a₄ be an A.P. of four terms such that each term of the A.P. and its common difference l are integers. If a₁+a₂+a₃+a₄=48 and a₁a₂a₃a₄+l⁴=361, then the largest term of the A.P. is equal to

Sequence and Series: JEE Main 2026 Mathematics question

JEE Main 2026 · 24 Jan, Evening shift · Q5

JEE Main 202624 Jan, Evening shiftMathematicsMediumSequence and Series179× since 2002

Let

a_1,a_2,a_3,a_4

be an A.P. of four terms such that each term of the A.P. and its common difference

l

are integers. If

a_1+a_2+a_3+a_4=48

and

a_1a_2a_3a_4+l^4=361

, then the largest term of the A.P. is equal to

JEE Main 2026 · 24 Jan, Evening shift · Q5

JEE Main 202624 Jan, Evening shiftMathematicsMediumSequence and Series179× since 2002

Let

a_1,a_2,a_3,a_4

be an A.P. of four terms such that each term of the A.P. and its common difference

l

are integers. If

a_1+a_2+a_3+a_4=48

and

a_1a_2a_3a_4+l^4=361

, then the largest term of the A.P. is equal to