10 JEE Main 2013 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2013 previous-year questions from the Sequences and Series chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sequences and Series chapter hub.
The sum of the series: 1+(1)/(1+2)+(1)/(1+2+3)+… …. upto 10 terms, is:
The sum of the series : (2)²+2(4)²+3(6)²+… upto 10 terms is :
If a₁, a₂, a₃, …, an, …. are in A.P. such that a₄-a₇ +a₁₀=m, then the sum of first 13 terms of this A.P., is :
If x ,   y ,   z are positive numbers in A . P . and tan - 1 x , tan - 1 y and tan - 1 z are also in A . P .…
Question
Given sum of the first n terms of an A.P. is 2 n+ 3 n². Another A.P. is formed with the same first term and double of t…
The sum (3)/(1²)+(5)/(1²+2²)+(7)/(1²+2²+3²)+…. upto 11-terms is:
Let a₁, a₂, a₃, … be an A.P, such that (a₁+a₂+…+ap)/(a₁+a₂+a₃+…+aq)=(p³)/(q³) ; p ≠ q. Then a₆a₂₁ is equal to:
The sum of first 20 terms of the sequence 0 . 7 ,   0 . 77 ,   0 . 777 ,   . . . . . . , is :
Given a sequence of 4 numbers, first three of which are in G.P. and the last three are in A.P. with common difference s…