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Mathematics - Sequences and Series

Practise 31 MHTCET previous year questions on Sequences and Series, compiled from papers spanning 2018 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 MHTCET tests.

Sequences and Series has been asked in 7 of the 17 years of MHTCET papers analysed (2007–2026), with 31 questions in all. 48% of them were easy, 48% moderate and 3% tough. Most of its questions came from 2020, with 11 questions that year. In the last three years (2024–2026) it had 6 questions across 59 papers, about 0.1 per paper.

The chapter's 6 topics are not weighted equally: Arithmetic Progression (10 questions, 32%), Geometric Progression (9 questions, 29%), and Summation of Series (8 questions, 26%) have been asked the most. Arithmetic Progression has also led over the last five years, with 8 questions. Summation of Series has produced the most tough questions (1).

  1. 1In a right-angled , the measures of the angles are in an Arithmetic Progression (A.P.) If its smallest side is units, then the area of is...20 Apr, 2026 (M)Arithmetic Progression
  2. 2If are in arithmetic progression with common difference d, then ____20 Apr, 2026 (M)Arithmetic Progression
  3. 3If are in G.P., then the general solution of is22 Apr, 2025 (E)Geometric Progression
  4. 4The money invested in a company is compounded continuously. ₹400 invested today becomes in 6 years, then at the end of 33 years, it will bec20 Apr, 2025 (M)Geometric Progression
  5. 5If are in Arithmetic Progression and are also in Arithmetic progression, where and , then10 May, 2024 (E)Arithmetic Progression
  6. 6If and are in H.P., then the value of is03 May, 2024 (E)Arithmetic Progression
  7. 7The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one, then the sides of the triangl13 May, 2023 (M)Arithmetic Progression
  8. 8are in G.P. and are in A.P., then13 May, 2023 (M)Mixed Question on AP and GP
  9. 9Angles of a triangle are in the ratio . Then the ratio of its greatest side to its perimeter is13 May, 2023 (M)Arithmetic Progression
  10. 10Rate of increase of bacteria in a culture is proportional to the number of bacteria present at that instant and it is found that the number 13 May, 2023 (M)Geometric Progression
  11. 11A radioactive substance, with initial mass , has a half-life of days. Then its initial decay rate is given by13 May, 2023 (E)Arithmetic Geometric Progression
  12. 12The lengths of sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one. Then the length of12 May, 2023 (E)Arithmetic Progression
  13. 13If are in A.P. and and are also in A.P., then10 May, 2023 (E)Arithmetic Progression
  14. 14The sum to 10 terms of the series is20 Oct, 2020 (M)Summation of Series
  15. 15The sum of first four terms of a G.P. is 160 and the common ratio is 3 , then the term is19 Oct, 2020 (M)Geometric Progression
  16. 16If for an Arithmetic progression, 9 times nineth term is equal to 13 times thirteenth term, then value of twenty second term is16 Oct, 2020 (M)Arithmetic Progression
  17. 17The rational form of a number is16 Oct, 2020 (E)Geometric Progression
  18. 18If form a H.P. then the values of a and are respectively15 Oct, 2020 (M)Harmonic Progression
  19. 19For a sequence if , then14 Oct, 2020 (M)Geometric Progression
  20. 20upto 8 terms14 Oct, 2020 (E)Summation of Series
  21. 21For a sequence if , then its fourth term is13 Oct, 2020 (M)Arithmetic Progression
  22. 22If for the harmonic progression, , then13 Oct, 2020 (E)Harmonic Progression
  23. 23If , then12 Oct, 2020 (M)Summation of Series
  24. 24Preview not available - open to view this question.12 Oct, 2020 (E)Summation of Series
  25. 25For a G.P., if S n = 4 n - 3 n 3 n , then, t 2 = ________02 May, 2019 (M)Summation of Series
  26. 26For a G.P., if m + n t h term is p and m - n t h term is q , then m t h term is ________02 May, 2019 (M)Geometric Progression
  27. 27For a sequence t n , if S n = 5 2 n - 1 then t n = …2019 (M)Summation of Series
  28. 28If A, B, C are p t h , q t h and r t h terms of a GP respectively then A q - r . B r - p . C p - q = ….2019 (M)Geometric Progression
  29. 29If ∑ r = 1 n 2 r + 1 = 440 , then n =…..2019 (E)Summation of Series
  30. 30If the sum of an infinite GP be 9 and sum of first two terms be 5 then their common ratio is …..2019 (E)Geometric Progression
  31. 31The sum of the first 10 terms of the series 9 + 99 + 999 + . … . is2018Summation of Series

Frequently Asked Questions

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

This chapter includes 31 questions compiled from MHTCET papers spanning 2018 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Sequences and Series has appeared in 7 of the 17 years of MHTCET papers covered here, with 31 questions across 24 papers - about one per paper it appears in.

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

Of the 31 questions analysed for this chapter, 48% are easy, 48% moderate and 3% tough. 2020 had the most, with 11 questions.

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

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

  • Arithmetic Progression - 10 questions (32%)
  • Geometric Progression - 9 questions (29%)
  • Summation of Series - 8 questions (26%)
  • Summation of Series has produced the most tough questions (1).
6.Is Sequences and Series's weightage in MHTCET going up or down?

Across all 24 papers analysed, Sequences and Series has averaged about 1.3 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.