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Mathematics - Sequences and Series

Practise 53 COMEDK previous year questions on Sequences and Series, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Sequences and Series has been asked in 14 of the 15 years of COMEDK papers analysed (2012–2026), with 53 questions in all. 30% of them were easy, 58% moderate and 11% tough. Most of its questions came from 2024, with 12 questions that year. In the last three years (2024–2026) it had 23 questions across 10 papers, about 2.3 per paper.

The chapter's 7 topics are not weighted equally: Summation of Series (19 questions, 36%), Geometric Progression (18 questions, 34%), and Arithmetic Progression (7 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Geometric Progression (15), Summation of Series (7), and Arithmetic Progression (6). Summation of Series has produced the most tough questions (4).

  1. 1Let ' ' and ' ' be two numbers where . The geometric mean of these numbers exceeds the smaller number by 12 and the arithmetic mean is small09 May, 2026 (S1)Means
  2. 2The product of three numbers in geometric progression is 8 and the sum of the product of the numbers taken in pairs is 14. Find the numbers.09 May, 2026 (S1)Geometric Progression
  3. 3Every term of a geometric progression is positive , and every term is the sum of the two preceding terms. Then the common ratio of the geome09 May, 2026 (S2)Geometric Progression
  4. 4If is the arithmetic mean of two given quantities and are the geometric means between the same two quantities, then is:09 May, 2026 (S2)Means
  5. 5Find the geometric progression for which the sum of the first two terms is -4, the fifth term is four times the third term and common ratio 25 May, 2025 (Shift)Geometric Progression
  6. 6If S is the sum to infinity of a decreasing geometric progression with common ratio such that . The ratio of fourth term to the second term 25 May, 2025 (Shift)Geometric Progression
  7. 7up to terms is equal to10 May, 2025 (S1)Geometric Progression
  8. 8The digits of a three-digit number taken in an order are in geometric progression. If one is added to the middle digit, they form an arithme10 May, 2025 (S1)Mixed Question on AP and GP
  9. 9Let and denote the arithmetic mean and geometric mean of positive real numbers and . Then the minimum value of the expression where is10 May, 2025 (S2)Inequalities
  10. 10The terms of an infinitely decreasing geometric progression in which all the terms are positive, the first term is 4 , and the difference be10 May, 2025 (S2)Geometric Progression
  11. 11A geometric progression consists of an even number of terms. If the sum of all the terms is five times the sum of the terms occupying the od10 May, 2025 (S3)Geometric Progression
  12. 12Preview not available - open to view this question.2024 (Afternoon Shift)Geometric Progression
  13. 13The sum of four numbers in a geometric progression is 60 , and the arithmetic mean of the first and the last number is 18 . Then the numbers2024 (Afternoon Shift)Geometric Progression
  14. 14The sum of first three terms of a geometric progression is 16 and the sum of next three terms is 128 . The sum to terms of the geometric pro2024 (Afternoon Shift)Geometric Progression
  15. 15Consider an infinite geometric series with first term ' ' and common ratio ' '. If the sum of infinite geometric series is 4 and the second 2024 (Evening Shift)Geometric Progression
  16. 16A number consists of three digits in geometric progression. The sum of the right hand and left hand digits exceeds twice the middle digit by2024 (Evening Shift)Geometric Progression
  17. 17If two positive numbers are in the ratio , then the ratio between their A.M (arithmetic mean) and G.M (geometric mean) is2024 (Evening Shift)Means
  18. 18The value of is2024 (Memory Based)Summation of Series
  19. 19If the sum of and term of an AP is 31 and sum of first two term is 7 then find the term of is2024 (Memory Based)Arithmetic Progression
  20. 20!is equal to2024 (Memory Based)Summation of Series
  21. 21Given are three unequal numbers such that is arithmetic mean of and and are in geometric progression. Then is2024 (Morning Shift)Arithmetic Progression
  22. 22Preview not available - open to view this question.2024 (Morning Shift)Geometric Progression
  23. 23A geometric progression consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd place2024 (Morning Shift)Geometric Progression
  24. 24If three numbers constitute both an A.P and G.P, then2023 (Evening Shift)Arithmetic Progression
  25. 25Le be the arithmetic mean and be the two geometric means between any two positive numbers, then -----------2023 (Evening Shift)Means
  26. 26The sum of terms of the series, is2023 (Memory Based)Summation of Series
  27. 27The value of is equal to2023 (Memory Based)Summation of Series
  28. 28If the sum of 12 th and 22 nd terms of an AP is 100 , then the sum of the first 33 terms of an is2023 (Memory Based)Arithmetic Progression
  29. 29The sum of terms of the series, is2023 (Morning Shift)Geometric Progression
  30. 30If the sum of 12th and 22nd terms of an AP is 100, then the sum of the first 33 terms of an is2023 (Morning Shift)Arithmetic Progression
  31. 31The value of is equal to2023 (Morning Shift)Summation of Series
  32. 32If and , then is equal to2022Mixed Question on AP and GP
  33. 33If upto 10 terms, then is equal to2022Summation of Series
  34. 34! is equal to2022Summation of Series
  35. 35The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its terms is 40 . The value of is2022Arithmetic Progression
  36. 36The value of is2021Summation of Series
  37. 37The sum of the series upto terms is2021Summation of Series
  38. 38If are in AP, and are in GP, then is2021Mixed Question on AP and GP
  39. 39Preview not available - open to view this question.2020Summation of Series
  40. 40upto terms is equal to2019Summation of Series
  41. 41If and are in , then is2018Geometric Progression
  42. 42The last digit of is2018Summation of Series
  43. 43Let the HM and GM of two positive numbers and be in the ratio , then is2017Geometric Progression
  44. 44If are subtracted respectively from four numbers forming a , the resulting numbers are in , then the smallest of the four numbers is2017Arithmetic Progression
  45. 45to is equal to2017Summation of Series
  46. 46If to terms, then2016Summation of Series
  47. 47If with , then2016Geometric Progression
  48. 48is2015Summation of Series
  49. 49For a natural number , which one is the correct statement?2014Summation of Series
  50. 50The sum of the series upto 20 terms is2014Summation of Series

Frequently Asked Questions

1.How many questions are available for Sequences and Series?

This chapter includes 53 questions compiled from COMEDK papers spanning 2012 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK questions specifically for the Sequences and Series chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Sequences and Series an important chapter for COMEDK Mathematics?

Sequences and Series has appeared in 14 of the 15 years of COMEDK papers covered here, with 53 questions across 23 papers - about 2 per paper it appears in.

4.What is the difficulty level of Sequences and Series questions in COMEDK?

Of the 53 questions analysed for this chapter, 30% are easy, 58% moderate and 11% tough. 2024 had the most, with 12 questions.

5.Which topics in Sequences and Series should I focus on?

These topics have carried the most weightage in Sequences and Series:

  • Summation of Series - 19 questions (36%)
  • Geometric Progression - 18 questions (34%)
  • Arithmetic Progression - 7 questions (13%)
  • Summation of Series has produced the most tough questions (4).
6.Is Sequences and Series's weightage in COMEDK going up or down?

Across all 23 papers analysed, Sequences and Series has averaged about 2.3 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.