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Mathematics - Sequences and Series

Practise 42 Manipal (MET) previous year questions on Sequences and Series, compiled from papers spanning 2011 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 Manipal (MET) tests.

Sequences and Series has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 42 questions in all. 19% of them were easy, 71% moderate and 10% tough. Most of its questions came from 2021, with 7 questions that year. In the last three years (2022–2024) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 8 topics are not weighted equally: Summation of Series (14 questions, 33%), Geometric Progression (9 questions, 21%), and Arithmetic Progression (7 questions, 17%) have been asked the most. Over the last five years the most frequent topics have been Arithmetic Progression (3), Means (3), and Summation of Series (3). Geometric Progression has produced the most tough questions (1).

  1. 1If expression attains is minimum value at , then is2024Mixed Question on AP and GP
  2. 2If and are in AP, then and are in2023Harmonic Progression
  3. 3If and are in AP and and are also in AP, then2022Arithmetic Progression
  4. 4is2021Summation of Series
  5. 5The sum of the even multiples of 9 between 300 and 500 is2021Summation of Series
  6. 6The sum of the first terms of two AP's are in the ratio . The ratio of the 5th terms is2021Arithmetic Progression
  7. 7The value of is2021Geometric Progression
  8. 8The sum of the series is2021Arithmetic Geometric Progression
  9. 9is equal to2021Summation of Series
  10. 10If and are in , the value of is2021Arithmetic Progression
  11. 11If geometric mean and harmonic mean of two numbers and are 16 and 64/5 respectively, then the value of is2020Means
  12. 12If the sum of four numbers in GP is 60 and the arithmetic mean of the first and last numbers is 18 then the numbers are2020Mixed Question on AP and GP
  13. 13In , if and are in , then and are in2020Means
  14. 14If and are in HP, then for any , which one of the following is true?2020Means
  15. 15The sum to terms of the series is2018Summation of Series
  16. 16The value of \( _{r=1}^{ } [3.2^{-r}-2 3^{1-r} ]\) is2018Summation of Series
  17. 17The sum of infinite terms of the geometric progression is2018Geometric Progression
  18. 18is equal to2017Summation of Series
  19. 19If the th term of the geometric progression, is , then the value of is2017Geometric Progression
  20. 20. to terms is equal to2017Geometric Progression
  21. 21If such that and are in AP, then the value of is2016Arithmetic Progression
  22. 22The sum of the series is2016Summation of Series
  23. 23equals2016Arithmetic Geometric Progression
  24. 24The sum to terms of the series , is2015Summation of Series
  25. 25The sum to infinity of the series is2015Summation of Series
  26. 26The sum to terms of the series: is2013Summation of Series
  27. 27The sum of terms of the series is2013Arithmetic Geometric Progression
  28. 28Sum of the series to terms is2013Summation of Series
  29. 293 numbers are in GP therefore, their logarithms are in2013Geometric Progression
  30. 30In a triangle, the length of the two larger sides are 24 and 22 , respectively. If the angles are in AP , then the third side is2013Arithmetic Progression
  31. 31The sum of the series is2012Summation of Series
  32. 32In a triangle, the angle are in AP and the lengths of the two larger sides are 10 and 9 , respectively, then the length of the third side ca2012Arithmetic Progression
  33. 33If are in GP, then are in2012Geometric Progression
  34. 34If then equals2012Summation of Series
  35. 35The harmonic mean of the root of the equation is2012Means
  36. 36If , then is always greater than or equal to2012Inequalities
  37. 37Suppose are in AP and are in GP. If and , then the value of is2012Mixed Question on AP and GP
  38. 38If , then is equal to2011Summation of Series
  39. 39The value of , is2011Geometric Progression
  40. 40is equal to2011Geometric Progression
  41. 41If and are in , thẹn is equal to2011Arithmetic Progression
  42. 42If the roots of the cubic equation are in GP, then2011Geometric Progression

Frequently Asked Questions

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

This chapter includes 42 questions compiled from Manipal (MET) papers spanning 2011 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Sequences and Series has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 42 questions across 12 papers - about 4 per paper it appears in.

4.What is the difficulty level of Sequences and Series questions in Manipal (MET)?

Of the 42 questions analysed for this chapter, 19% are easy, 71% moderate and 10% tough. 2021 had the most, with 7 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 - 14 questions (33%)
  • Geometric Progression - 9 questions (21%)
  • Arithmetic Progression - 7 questions (17%)
  • Geometric Progression has produced the most tough questions (1).
6.Is Sequences and Series's weightage in Manipal (MET) going up or down?

Across all 12 papers analysed, Sequences and Series has averaged about 3.5 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.