Learn

Friday, 9 October

JEE Main Maths · Sequences and Series

Method of Differences (Vn Method)

Method of Differences (Vn Method) (Sequences and Series) was asked 4 times in 4 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed. 1 of the 4 had a numerical answer.

Times asked
4
in 4 shifts
Years
2023–2026
Usual format
Single correct
Multi-step
Pattern
Comes in cycles
repeats across shifts

How it is asked

  • Sum of series by telescoping
  • Sum of series with summation general term

Difficulty

Easy 0Medium 2Hard 2

Where it sits

Chapter: Sequences and Series. Topic: AP and GP, 59 questions over 17 ideas.

Other repeat ideas in this topic

Every time it came

All 4 questions

Newest first, each with its options and official answer.

  1. 5 Apr 2026, Shift 2 · Q5If the sum of the first 10 terms of the series…HardSingle correct
  2. 2 Apr 2025, Shift 2 · Q22If the sum of the first 10 terms of the series…HardNumerical value
  3. 9 Apr 2024, Shift 1 · Q5If the sum of the series 11⋅(1+d)+1(1+d)(1+2d)+…+1(1+9d)(1+10d)\frac{1}{1\cdot(1+d)}+\frac{1}{(1+d)(1+2d)}+\ldots+\frac{1}{(1+9d)(1+10d)} is equal to 55, then 50d50d is equal…MediumSingle correct
  4. 6 Apr 2023, Shift 1 · Q8Let a1,a2,a3,…,ana_1,a_2,a_3,\ldots,a_n be nn positive consecutive terms of an arithmetic progression. If d>0d>0 is its common difference, then…MediumSingle correct