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Mathematics - Sequences and Series

Practise 48 TS EAMCET previous year questions on Sequences and Series, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Sequences and Series has been asked in 18 of the 24 years of TS EAMCET papers analysed (2001–2024), with 48 questions in all. 27% of them were easy, 40% moderate and 33% tough. Most of its questions came from 2020, with 6 questions that year. In the last three years (2022–2024) it had 4 questions across 17 papers, about 0.2 per paper.

The chapter's 9 topics are not weighted equally: Summation of Series (23 questions, 48%), Arithmetic Progression (6 questions, 13%), and Mixed Question on AP and GP (5 questions, 10%) have been asked the most. Over the last five years the most frequent topics have been Arithmetic Progression (5), Sequences and Series (3), and Summation of Series (2). Summation of Series has produced the most tough questions (10).

  1. 1are positive integers, , and similarly other terms are there. Following this pattern, if then04 May, 2025 (M)Sequences and Series
  2. 2If to 10 terms , then03 May, 2025 (M)Summation of Series
  3. 3The approximate value of is03 May, 2025 (M)Sequences and Series
  4. 4The value of the greatest integer satisfying the inequation for all is03 May, 2025 (E)Sequences and Series
  5. 5to 10 terms02 May, 2025 (M)Arithmetic Progression
  6. 6The value of the greatest positive integer k, such that is a factor of is02 May, 2025 (E)Geometric Progression
  7. 7If the variance of the numbers is P, then the variance of the first even numbers is02 May, 2025 (E)Arithmetic Progression
  8. 8If to terms , then11 May, 2024 (M)Arithmetic Progression
  9. 9Preview not available - open to view this question.09 May, 2024 (E)Arithmetic Progression
  10. 10If and are two positive integers such that and is maximum then20 Jul, 2022 (M)Inequalities
  11. 11If the roots of are all positive such that their arithmetic mean and geometric mean are equal, then19 Jul, 2022 (M)Geometric Progression
  12. 12The period of , where terms, is06 Aug, 2021 (M)Arithmetic Progression
  13. 13If 1 1 5 + 1 5 9 + 1 9 13 + to n terms = 27 109 then n =05 Aug, 2021 (E)Mixed Question on AP and GP
  14. 14For any n , 1 2 . 5 + 1 5 . 8 + + 1 ( 3 n - 1 ) ( 3 n + 2 ) =04 Aug, 2021 (M)Summation of Series
  15. 15and lie in . If are in harmonic progression, then14 Sep, 2020 (M)Harmonic Progression
  16. 16Let the greatest common divisor of be 1 . If . upto 20 terms , then10 Sep, 2020 (M)Arithmetic Progression
  17. 17If is the sum of the first terms of the series then, when is even10 Sep, 2020 (E)Summation of Series
  18. 18If the roots of the equation, are in a geometric progression, then10 Sep, 2020 (E)Geometric Progression
  19. 19The expression for which satisfies and , from the following is09 Sep, 2020 (E)Summation of Series
  20. 20For a real variable , consider the points in the Cartesian plane. If and represent respectively the arithmetic mean of -coordinates and the 09 Sep, 2020 (E)Means
  21. 21If and , then04 May, 2019 (E)Mixed Question on AP and GP
  22. 22If , then the maximum value of is04 May, 2019 (E)Means
  23. 23For all n , n , , if 1 2 + 2 2 + 3 2 + + n 2 x , then x =03 May, 2019 (E)Summation of Series
  24. 24If x = n = 0 cos 2 n , y = n = 0 sin 2 n , z = n = 0 cos 2 n sin 2 n and 0 2 , then04 May, 2018 (M)Summation of Series
  25. 25For any integer2017Summation of Series
  26. 26If the average of the first numbers in the sequence , is 125 , then is equal to2016Means
  27. 27If , then equals2015Summation of Series
  28. 28If terms , then is equal to2012Summation of Series
  29. 29is equal to2012Summation of Series
  30. 30If and form a geometric progression with common ratio , then the sum of the ordinates of the points of intersection of the line and the curv2012Geometric Progression
  31. 31For any integer , the sum is equal to2008Summation of Series
  32. 32is equal to2008Summation of Series
  33. 33is equal to2008Summation of Series
  34. 34If and , then2007Summation of Series
  35. 35The sum of the series2007Summation of Series
  36. 36If are in AP, and are in GP, then is2007Mixed Question on AP and GP
  37. 37is equal to :2006Summation of Series
  38. 38is equal to2005Summation of Series
  39. 39If , then is equal to2005Summation of Series
  40. 40is equal to2004Summation of Series
  41. 41The value of the series is2004Summation of Series
  42. 42The value of is2004Summation of Series
  43. 43is equal to :2003Arithmetic Geometric Progression
  44. 44In the sequence, of sets, the sum of elements in the 50th set is2002Mixed Question on AP and GP
  45. 45If the altitude of a triangle are in arithmetic progression, then the sides of the triangles are in2002Mixed Question on AP and GP
  46. 46If , then is equal to2001Summation of Series
  47. 47is equal to2001Arithmetic Geometric Progression
  48. 48is equal to2001Summation of Series

Frequently Asked Questions

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

This chapter includes 48 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Sequences and Series has appeared in 19 of the 25 years of TS EAMCET papers covered here, with 48 questions across 31 papers - about 2 per paper it appears in.

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

Of the 48 questions analysed for this chapter, 27% are easy, 40% moderate and 33% tough. 2020 had the most, with 6 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 - 23 questions (48%)
  • Arithmetic Progression - 6 questions (13%)
  • Mixed Question on AP and GP - 5 questions (10%)
  • Summation of Series has produced the most tough questions (10).
6.Is Sequences and Series's weightage in TS EAMCET going up or down?

Across all 31 papers analysed, Sequences and Series has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has fallen, at about 0.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.