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Mathematics - Sequences and Series

Practise 80 AP 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 AP EAMCET tests.

Sequences and Series has been asked in 18 of the 24 years of AP EAMCET papers analysed (2001–2024), with 80 questions in all. 33% of them were easy, 45% moderate and 23% tough. Most of its questions came from 2024, with 13 questions that year. In the last three years (2022–2024) it had 18 questions across 28 papers, about 0.6 per paper.

The chapter's 9 topics are not weighted equally: Summation of Series (44 questions, 55%), Arithmetic Progression (15 questions, 19%), and Geometric Progression (6 questions, 8%) have been asked the most. Over the last five years the most frequent topics have been Arithmetic Progression (11), Summation of Series (9), and Geometric Progression (4). Summation of Series has produced the most tough questions (13).

  1. 1If and , then26 May, 2025 (M)Arithmetic Progression
  2. 2to 24 terms26 May, 2025 (E)Summation of Series
  3. 3If , then which one of the following is true? Assertion (A) : Reason (R) :23 May, 2025 (M)Arithmetic Progression
  4. 4The sum of all integers between 1 and 100 (both inclusive) which are divisible by 5 or 13 is23 May, 2025 (M)Arithmetic Progression
  5. 5If , then23 May, 2025 (E)Geometric Progression
  6. 6For all22 May, 2025 (M)Sequences and Series
  7. 7Preview not available - open to view this question.22 May, 2025 (E)Sequences and Series
  8. 8For all , if , then a value of x among the following is21 May, 2025 (M)Arithmetic Progression
  9. 9If to n terms , then21 May, 2025 (E)Summation of Series
  10. 10The term of the series23 May, 2024 (M)Summation of Series
  11. 11The number of ways of selecting 3 numbers that are in G.P. from the set is23 May, 2024 (M)Geometric Progression
  12. 12Preview not available - open to view this question.22 May, 2024 (M)Arithmetic Progression
  13. 13upto terms21 May, 2024 (M)Summation of Series
  14. 14If the roots of the equation are ir arithmetic progression, then21 May, 2024 (M)Arithmetic Progression
  15. 15If the eleventh term in the binomial expansion of is the geometric mean of the eighth and twelfth terms, then the greatest term in the expan21 May, 2024 (M)Geometric Progression
  16. 16If then maximum value of21 May, 2024 (E)Inequalities
  17. 17to 50 terms20 May, 2024 (M)Summation of Series
  18. 18to20 May, 2024 (M)Summation of Series
  19. 19If the roots of the equation are in arithmetic progression, then20 May, 2024 (E)Arithmetic Progression
  20. 20to 10 terms19 May, 2024 (E)Summation of Series
  21. 21Preview not available - open to view this question.19 May, 2024 (E)Geometric Progression
  22. 22Preview not available - open to view this question.19 May, 2024 (E)Summation of Series
  23. 23If the roots of the equation are in harmonic progression, then its greatest root is16 May, 2023 (M)Harmonic Progression
  24. 24In , if a, b, c are in arithmetic progression and , then16 May, 2023 (E)Arithmetic Progression
  25. 25The number of pairs of consecutive positive even integers such that the sum of their squares is 290 is08 Jul, 2022 (E)Summation of Series
  26. 26If and of a are in Harmonic progression, then and will be in08 Jul, 2022 (E)Harmonic Progression
  27. 27be distinct elements in the set . The minimum value of is06 Jul, 2022 (E)Inequalities
  28. 28The sum of integers from 1 to 50 that are divisible by 2 and 3 is24 Aug, 2021 (M)Arithmetic Progression
  29. 29If the angles and of are in arithmetic progression, then24 Aug, 2021 (E)Arithmetic Progression
  30. 30Let f ( x ) = x 3 + a x 2 + b x + c be polynomial with integer coefficients. If the roots of f ( x ) are integer and are in Arithmetic Progr19 Aug, 2021 (M)Arithmetic Progression
  31. 31For , what is the value of07 Oct, 2020 (Special)Summation of Series
  32. 32Let be a positive integer. If the coefficients of and terms in the expansion of are in A.P, then the value of07 Oct, 2020 (Special)Arithmetic Progression
  33. 33If a = 1 + 2 + 4 + up to n terms, b = 1 + 3 + 9 + up to n terms and c = 1 + 5 + 25 + up to n terms, then = a 2 b 4 c 2 2 2 2 n 3 n 5 n =23 Sep, 2020 (M)Summation of Series
  34. 34The angles of a triangle are in AP. If , then22 Sep, 2020 (E)Arithmetic Progression
  35. 35Let \(P(n): 1^2+2^2+3^2+ +n^2\) \(= {6(n-1)(n-2) (n-2020)+2 n^3+3 n^2+n}{6}\), for all \(n {N}\). Then which of the following is correct?21 Sep, 2020 (M)Summation of Series
  36. 36\( _{n } {2^2+4^2+6^2+ +(2 n)^2}{n^3}=\)21 Sep, 2020 (M)Summation of Series
  37. 37The sum of the cubes of three consecutive natural numbers is divisible by21 Sep, 2020 (E)Summation of Series
  38. 38Find \( _{t=1}^{39} f(t)\) if \(f: {R} {R}\) is defined as \(f(x+y)=f(x)+f(y), x, y {R}\) and \(f( {I})=7\)18 Sep, 2020 (M)Summation of Series
  39. 39Geometric mean of \( 1^{ }, 2^{ }, . . .\), \( 89^{ }\) is18 Sep, 2020 (E)Means
  40. 40If \(x= {1}{5}+ {1 3}{5 10}+ {1 3 5}{5 10 15}+ \). then \(3 x^2+6 x=\)17 Sep, 2020 (E)Summation of Series
  41. 41If \(2 4^{2 k+1}+3^{3 k+1}=11 t\) and \(2 4^{2 k+3}+3^{3 k+4}=11\) \( (p t+3^q )\), where \(k, t Z^{+}\), then \((p, q)=\)23 Apr, 2019 (M)Arithmetic Progression
  42. 42If \(x= {2}{5}+ {1 3}{2 !} ( {2}{5} )^2+ {1 3 5}{3 !} ( {2}{5} )^3+ \), then \(x+ {1}{x}=\)23 Apr, 2019 (M)Summation of Series
  43. 43\( {1}{2.5}+ {1}{5.8}+ {1}{8.11}+ 16\) terms \(=\)22 Apr, 2019 (M)Summation of Series
  44. 44Preview not available - open to view this question.21 Apr, 2019 (M)Summation of Series
  45. 45If , then21 Apr, 2019 (M)Summation of Series
  46. 46Assertion (A) \( { (I) }+(1+2+4)+(4+6+9) +(9+12+16)+ +(81+90+100)=1000\) Reason (R) \( _{r=1}^n (r^3-[r-1]^3 )=n^3\) for any natural number 20 Apr, 2019 (M)Summation of Series
  47. 47Let \(A, G, H\) and \(S\) respectively denote the arithmetic mean, geometric mean, harmonic mean and the sum of the numbers \(a_1, a_2, a_3,20 Apr, 2019 (M)Means
  48. 48The sum of first terms of the series is20 Apr, 2019 (E)Geometric Progression
  49. 49If 1 + 3 1 1 + 5 4 1 + 7 9 1 + 2 n + 1 n 2 = 121 , then n =25 Apr, 2018 (M)Summation of Series
  50. 501 4 - 5 4 8 + 5 9 4 8 12 - =25 Apr, 2018 (M)Arithmetic Geometric Progression

Frequently Asked Questions

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

This chapter includes 80 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Sequences and Series has appeared in 19 of the 25 years of AP EAMCET papers covered here, with 80 questions across 52 papers - about 2 per paper it appears in.

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

Of the 80 questions analysed for this chapter, 33% are easy, 45% moderate and 23% tough. 2024 had the most, with 13 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 - 44 questions (55%)
  • Arithmetic Progression - 15 questions (19%)
  • Geometric Progression - 6 questions (8%)
  • Summation of Series has produced the most tough questions (13).
6.Is Sequences and Series's weightage in AP EAMCET going up or down?

Across all 52 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 0.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.