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Sequences And Series — JEE Mathematics MCQs

Master Sequences And Series for JEE Main with free mathematics MCQs. Each question includes a detailed solution and instant feedback — practice at easy, medium, and hard difficulty levels to build exam-ready confidence.

10 practice questions with instant feedback and solutions.

Easy•Sequences And Series
The sum of the infinite geometric series 1+13+19+127+…1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \ldots is:
Easy•Sequences And Series
The sum of the series ∑n=1991n(n+1)\sum_{n=1}^{99} \frac{1}{n(n+1)} is:
Easy•Sequences And Series
If the arithmetic mean and geometric mean of two positive numbers are 10 and 8 respectively, then the harmonic mean of these numbers is:
Easy•Sequences And Series
The sum 12+22+32+…+1521^2 + 2^2 + 3^2 + \ldots + 15^2 equals:
Medium•Sequences And Series
[JEE Mains 2026] If the sum of the first 4 terms of an A.P. is 6 and the sum of the first 6 terms is 4, then the sum of the first 12 terms of the A.P. is:
Medium•Sequences And Series
The sum of the series 1+2⋅2+3⋅22+4⋅23+…+10⋅291 + 2 \cdot 2 + 3 \cdot 2^2 + 4 \cdot 2^3 + \ldots + 10 \cdot 2^9 is:
Easy•Sequences And Series
The sum of the first 20 terms of an arithmetic progression with first term 5 and common difference 3 is:
Easy•Sequences And Series
In a geometric progression, the first term is 3 and the common ratio is 2. The 8th term of the GP is:
Hard•Sequences And Series
If the sum of the first nn terms of an AP is given by Sn=3n2+5nS_n = 3n^2 + 5n, then the 10th term of the AP is:
Medium•Sequences And Series
Let a1,a2,a3,…a_1, a_2, a_3, \ldots be a G.P. of positive terms. If a1a5=32a_1 a_5 = 32 and a2+a4=12a_2 + a_4 = 12, then a3a_3 equals: