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Mathematics - Sequences and Series

Practise 17 VITEEE previous year questions on Sequences and Series, compiled from papers spanning 2006 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 VITEEE tests.

Sequences and Series has been asked in 10 of the 18 years of VITEEE papers analysed (2006–2024), with 17 questions in all. 59% of them were easy, 24% moderate and 18% tough. Most of its questions came from 2024, with 4 questions that year. In the last three years (2022–2024) it had 6 questions across 3 papers, about 2 per paper.

The chapter's 6 topics are not weighted equally: Summation of Series (7 questions, 41%), Harmonic Progression (4 questions, 24%), and Geometric Progression (2 questions, 12%) have been asked the most. Summation of Series has also led over the last five years, with 4 questions. Mixed Question on AP and GP has produced the most tough questions (2).

  1. 1The sum of the series upto 10 terms is2024Summation of Series
  2. 2Sum of first ' ' terms of a series is given by , then the value of is2024Summation of Series
  3. 3The sum of the infinite terms of the series is equal to2024Summation of Series
  4. 4The sum of is2024Summation of Series
  5. 5An infinite G.P. has first term ' \(x\) ' and sum ' 5 ', then \( {x}\) belongs to2023Geometric Progression
  6. 6Sum of the series \( {1}{1 2 3 4}+ {4}{3 4 5 6}+ {9}{5 6 7 8}+ {16}{7 8 9 10}+ =\)2022Mixed Question on AP and GP
  7. 7Let , be in A.P. with a common difference . Then are in:2019Mixed Question on AP and GP
  8. 8If , then is equal to2015Summation of Series
  9. 9If and be any positive real numbers, then which of the following statement is true?2013Inequalities
  10. 10If and are the roots of and if , then2013Summation of Series
  11. 11If , then is equal to2013Summation of Series
  12. 12Leta, band c be in AP and . If to to to , then and are in2012Harmonic Progression
  13. 13For a GP, . Find the common ratio.2011Geometric Progression
  14. 14If are in HP, then will be in2011Harmonic Progression
  15. 15If one AM 'A' and two GM and are inserted between two given numbers, then find the value of2011Means
  16. 16If for the equation , then all the roots of the equation will be real if2007Harmonic Progression
  17. 17An equation of the plane passing through the line of intersection of the planes and and passing through is2006Harmonic Progression

Frequently Asked Questions

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

This chapter includes 17 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Sequences and Series has appeared in 10 of the 18 years of VITEEE papers covered here, with 17 questions across 10 papers - about 2 per paper it appears in.

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

Of the 17 questions analysed for this chapter, 59% are easy, 24% moderate and 18% tough. 2024 had the most, with 4 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 - 7 questions (41%)
  • Harmonic Progression - 4 questions (24%)
  • Geometric Progression - 2 questions (12%)
  • Mixed Question on AP and GP has produced the most tough questions (2).
6.Is Sequences and Series's weightage in VITEEE going up or down?

Across all 10 papers analysed, Sequences and Series has averaged about 1.7 questions per paper. In the last three years (2022–2024), that average has risen, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.