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Sequences and Series

Previous year questions with solutions · 2024 – 2026

95Questions
57Papers covered
6.74%Weightage 2026▲ 14.3% vs last year
’24
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
YearQuestionsPapersAvg / paperWeightage
202632191.76.74% ▲ 14.3% vs last year
202528191.55.89% ▲ 1.1% vs last year
202435201.85.83%

72 questions · newest paper first · page 3 of 3

Ques. 61JEE Main 2024, 4 April (Evening Shift)

Let three real numbers a, b, c be in arithmetic progression and a + 1, b, c + 3 be in geometric progression. If a > 10 and the arithmetic mean of a, b and c is 8, then the cube of the geometric mean of a, b and c is

  1. 120
  2. 316
  3. 312
  4. 128
Ques. 62JEE Main 2024, 1 February (Morning Shift)

Let 3, a, b, c be in A.P. and 3, a-1, b+1, c+9 be in G.P. Then, the arithmetic mean of a, b and c is :

  1. -4
  2. -1
  3. 13
  4. 11
Ques. 63JEE Main 2024, 1 February (Evening Shift)

Let Sn denote the sum of the first n terms of an arithmetic progression. If S10=390 and the ratio of the tenth and the fifth terms is 15:7, then S15-S5 is equal to :

  1. 800
  2. 890
  3. 790
  4. 690
Ques. 64JEE Main 2024, 31 January (Morning Shift)

The sum of the series 11-3 12+14+ 21-3 22+24+ 31-3 32+34+ up to 10-terms is

  1. 45109
  2. - 55109
  3. 55109
  4. - 45109
Ques. 65JEE Main 2024, 31 January (Evening Shift)

Let 2nd, 8th and 44th terms of a non-constant A. P. be respectively the 1st, 2nd and 3rd terms of a G. P. If the first term of the A. P. is 1, then the sum of its first 20 terms is equal to -

  1. 990
  2. 980
  3. 960
  4. 970
Ques. 66JEE Main 2024, 30 January (Morning Shift)

Let Sn denote the sum of first n terms of an arithmetic progression. If S20=790 and S10=145, then S15-S5 is :

  1. 405
  2. 390
  3. 410
  4. 395
Ques. 67JEE Main 2024, 30 January (Evening Shift)

Let a and b be two distinct positive real numbers. Let 11th term of a GP, whose first term is a and third term is b, is equal to pth term of another GP, whose first term is a and fifth term is b. Then p is equal to

  1. 20
  2. 24
  3. 21
  4. 25
Ques. 68JEE Main 2024, 29 January (Morning Shift)

If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal to

  1. 7
  2. 6
  3. 5
  4. 4
Ques. 69JEE Main 2024, 29 January (Evening Shift)

If e a, e b, e c are in an A.P. and e a- e 2b, e 2b- e 3c, e 3c- e a are also in an A.P., then a:b:c is equal to

  1. 6:3:2
  2. 9:6:4
  3. 25:10:4
  4. 16:4:1
Ques. 70JEE Main 2024, 29 January (Evening Shift)

If each term of a geometric progression a1, a2, a3, with a1= 18 and a2 a1, is the arithmetic mean of the next two terms and Sn=a1+a2+ +an, then S20-S18 is equal to

  1. -215
  2. 215
  3. -218
  4. 218
Ques. 71JEE Main 2024, 27 January (Morning Shift)

The number of common terms in the progressions 4, 9, 14, 19, , up to 25th term and 3, 6, 9, 12, , up to 37th term is :

  1. 9
  2. 8
  3. 5
  4. 7
Ques. 72JEE Main 2024, 27 January (Evening Shift)

The 20th term from the end of the progression 20, 19 14, 18 12, 17 34, , -129 14 is :

  1. -115
  2. -100
  3. -110
  4. -118