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Mathematics - Sequences and Series

Practise 51 BITSAT previous year questions on Sequences and Series, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Sequences and Series has been asked in 15 of the 16 years of BITSAT papers analysed (2009–2024), with 51 questions in all. 33% of them were easy, 55% moderate and 12% tough. Most of its questions came from 2024, with 8 questions that year. In the last three years (2022–2024) it had 14 questions across 6 papers, about 2.3 per paper.

The chapter's 7 topics are not weighted equally: Arithmetic Progression (11 questions, 22%), Geometric Progression (9 questions, 18%), and Summation of Series (9 questions, 18%) have been asked the most. Over the last five years the most frequent topics have been Summation of Series (6), Arithmetic Progression (5), and Geometric Progression (5). Summation of Series has produced the most tough questions (3).

  1. 1If arithmetic mean of two distinct positive real number and be twice their geometric mean, then2024 (Memory Based Paper 1)Mixed Question on AP and GP
  2. 2If .to terms, then2024 (Memory Based Paper 1)Summation of Series
  3. 3If and , then is equal to2024 (Memory Based Paper 2)Geometric Progression
  4. 4The sum of the infinite series . is equal to:2024 (Memory Based Paper 2)Summation of Series
  5. 5If , then is equal to2024 (Memory Based Paper 2)Summation of Series
  6. 6If and are distinct, then is greater than2024 (Memory Based Paper 3)Inequalities
  7. 7If where and are constants, then the value of is equal to2024 (Memory Based Paper 3)Summation of Series
  8. 8There are four numbers of which the first three are in GP and the last three are in AP, whose common difference is 6 . If the first and the 2024 (Memory Based Paper 3)Mixed Question on AP and GP
  9. 9If the sum of an infinite GP is 15 and the sum of the squares of its each term is 150 , then the sum of is :2023 (Memory Based Paper 1)Geometric Progression
  10. 10The sum to infinite term of the series is2023 (Memory Based Paper 2)Summation of Series
  11. 11Let be in AP and be in HP. If and , then is2022Harmonic Progression
  12. 12Let be a harmonic progression with and . The least positive integer for which , is2022Harmonic Progression
  13. 13In a sequence of terms, the first terms are in with common difference and the last terms are in with common ratio . If the middle term of be2022Mixed Question on AP and GP
  14. 14If and if are in AP, then is equal to2022Arithmetic Progression
  15. 15If the sum of a certain number of terms of the A.P. is 116 then the last term is2021Arithmetic Progression
  16. 16The sum of all odd numbers between 1 and 1000 which are divisible by 3 is2021Arithmetic Progression
  17. 17Consider an infinite geometric series with first term and common ratio . If its sum is 4 and the second term is , then:2021Geometric Progression
  18. 18If the harmonic mean between and be , then the value of is2021Arithmetic Progression
  19. 19If are positive numbers, then least value of is2020Inequalities
  20. 20The sum of the infinite series is equal to2020Summation of Series
  21. 21A student read common difference of an A. P. as -2 instead of 2 and got the sum of first 5 terms as -5 . Actual sum of first five terms is2020Arithmetic Progression
  22. 22If and are distinct, then b) is greater than2020Inequalities
  23. 23If then is equal to2020Geometric Progression
  24. 24If are in G.P., then the area of the triangle formed by the lines with the coordinates axes is equal to2020Geometric Progression
  25. 25There are four numbers of which the first three are in G.P. and the last three are in A.P., whose common difference is 6 . If the first and 2020Mixed Question on AP and GP
  26. 26If a , b , c are in GP and log a - log 2 b , log 2 b - log 3 c and log 3 c - log a are in AP , then a , b and c are the lengths of the sides2018Mixed Question on AP and GP
  27. 27If r = 1 n t r = n n + 1 n + 2 n + 3 8 , where t r denotes the r t h term of a series, then lim n r = 1 n 1 t r is2018Summation of Series
  28. 28The numbers 3 2 sin 2 - 1 , 14 and 3 4 - 2 sin 2 form first three terms of an A . P . , then its fifth term is2017Arithmetic Progression
  29. 29If cos ( x - y ) , cos x and cos ( x + y ) are in HP , then cos x sec ( y / 2 ) is equal to2017Harmonic Progression
  30. 30The arithmetic mean of numbers a, is . What is the value of2016Means
  31. 31The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one, then the common2016Arithmetic Progression
  32. 32The sum to terms of the series is2016Mixed Question on AP and GP
  33. 33If a, , and are in A.P. and also a a are in A.P., then2016Arithmetic Progression
  34. 34upto terms is2016Summation of Series
  35. 35If is the complex cube root of unity, then the value of is2015Geometric Progression
  36. 36The value of upto n terms is2015Mixed Question on AP and GP
  37. 37If binomial coefficients of three consecutive terms of are in , then the maximum value of is2015Harmonic Progression
  38. 38If the term of a . . is and the term is then the term is-2014Harmonic Progression
  39. 39If are in A. P., then is equal to2014Arithmetic Progression
  40. 40The product of positive numbers is unity, then their sum is:2014Inequalities
  41. 41The sum of the series is2013Summation of Series
  42. 42If is positive then the sum to infinity of the series is2012Geometric Progression
  43. 43Let be terms on A.P. If then equals2012Arithmetic Progression
  44. 44If \( {p}^{ {th }}, {q}^{ {th }}\) and \( {r}^{ {th }}\) terms of H.P. are \( {u}, {v}, {w}\) respectively, then find the value of the expre2011Harmonic Progression
  45. 45If the sum of the first \(2 n\) terms of \(2,5,8, \) is equal to the sum of the first \(n\) terms of 57,59 , \(61 \). , then \( {n}\) is equ2011Arithmetic Progression
  46. 46Find the A.M. of the first ten odd numbers.2011Means
  47. 47The coefficient of \(x^{32}\) in the expansion of \( (x^4- {1}{x^3} )^{15}\) is:2010Means
  48. 48A wholesale merchant wants to start the business of cereal with \(₹ 24000\). Wheat is \(₹ 400\) per quintal and rice is \(₹ 600\) per quinta2010Means
  49. 49If in the expansion of \( (2^x+ {1}{4^x} )^n, T_3=7 T_2\) and sum of the binomial coefficients of second and third terms is 36 , then the va2009Mixed Question on AP and GP
  50. 50If \(A\) and \(B\) are \(2 2\) matrices, then which of the following is true?2009Geometric Progression

Frequently Asked Questions

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

This chapter includes 51 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Sequences and Series has appeared in 15 of the 16 years of BITSAT papers covered here, with 51 questions across 18 papers - about 3 per paper it appears in.

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

Of the 51 questions analysed for this chapter, 33% are easy, 55% moderate and 12% tough. 2024 had the most, with 8 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 - 11 questions (22%)
  • Geometric Progression - 9 questions (18%)
  • Summation of Series - 9 questions (18%)
  • Summation of Series has produced the most tough questions (3).
6.Is Sequences and Series's weightage in BITSAT going up or down?

Across all 18 papers analysed, Sequences and Series has averaged about 2.8 questions per paper. In the last three years (2022–2024), that average has fallen, 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.