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Mathematics - Sequences and Series

Practise 25 KCET previous year questions on Sequences and Series, compiled from papers spanning 2007 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.

Sequences and Series has been asked in 19 of the 20 years of KCET papers analysed (2007–2026), with 25 questions in all. 56% of them were easy, 24% moderate and 20% tough. Most of its questions came from 2009, with 3 questions that year. In the last three years (2024–2026) it had 5 questions across 3 papers, about 1.7 per paper.

The chapter's 5 topics are not weighted equally: Summation of Series (9 questions, 36%), Geometric Progression (9 questions, 36%), and Mixed Question on AP and GP (3 questions, 12%) have been asked the most. Over the last five years the most frequent topics have been Geometric Progression (3), Mixed Question on AP and GP (2), and Summation of Series (1). Summation of Series has produced the most tough questions (3).

  1. 1The angles of a triangle are in A.P and the greatest angle is double the least angle, then sine of the third angle is2026Arithmetic Progression
  2. 2If we insert two numbers between and so that the resulting sequence is in G.P, then the inserted numbers in the order are2026Geometric Progression
  3. 3If and terms of a G.P. are and z respectively, then2025Geometric Progression
  4. 4If stands for sum to -terms of a GP with as the first term and as the common ratio, then is2024Summation of Series
  5. 5If and of roots of a quadratic equation are 5 and 4 , respectively, then the quadratic equation is2024Means
  6. 6If are in , then2023Mixed Question on AP and GP
  7. 7th term of the series is2023Mixed Question on AP and GP
  8. 8If is a geometric progression and , then equals2022Geometric Progression
  9. 9If the middle term of the AP is 300 , then the sum of its first 51 terms is2021Arithmetic Progression
  10. 10If ! Then the smallest positive integer for which is true if2020Arithmetic Progression
  11. 11The third term of a G.P. is \( 9 \). The product of its first five terms is2019Geometric Progression
  12. 12If \( a, b, c \) are three consecutive terms of an \( A P \) and \( x, y, z \) are three consecutive terms of a G.P., then thevalue of \( X^2018Mixed Question on AP and GP
  13. 13The area of triangle with vertices \( ( {K}, 0),(4,0),(0,2) \) is \( 4 \) square units, then value of \( {K} \) is2017Summation of Series
  14. 14If \( 1+ + ^{2} + . \) upto \( =2 {3}+4 \), then \( = \)2016Geometric Progression
  15. 15The sum of \( 1^{s t} {n} \) terms of the series \[ {1^{2}}{1}+ {1^{2}+2^{2}}{1+2}+ {1^{2}+2^{2}+3^{2}}{1+2+3}+ \]2016Summation of Series
  16. 16Let \( {a}=i-2 j+3 k \) if \( {b} \) is a vector such that \( {a} {b}=| {b}|^{2} \) and \( | {a}- {b}|= {7} \), then \( | {b}|= \)2015Geometric Progression
  17. 17If the function \( f(x) \) satisfies \( _{x 1} {f(x)-2}{x^{2}-1}= \) then \( _{x 1} f(x)= \)2014Geometric Progression
  18. 18The sum of the series, upto terms is2013Summation of Series
  19. 19The sum of the first terms of is2011Summation of Series
  20. 20The th term of the series is 9901 . The value of is2010Summation of Series
  21. 21A population grows at the rate of of the population per year. How long does it take for the population to double?2009Geometric Progression
  22. 22If ! then is equal to2009Summation of Series
  23. 23If upto , and , then is equal to2009Geometric Progression
  24. 24equal to upto terms is2008Summation of Series
  25. 25is equal to2007Summation of Series

Frequently Asked Questions

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

This chapter includes 25 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Sequences and Series has appeared in 19 of the 20 years of KCET papers covered here, with 25 questions across 19 papers - about one per paper it appears in.

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

Of the 25 questions analysed for this chapter, 56% are easy, 24% moderate and 20% tough. 2009 had the most, with 3 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 - 9 questions (36%)
  • Geometric Progression - 9 questions (36%)
  • Mixed Question on AP and GP - 3 questions (12%)
  • Summation of Series has produced the most tough questions (3).
6.Is Sequences and Series's weightage in KCET going up or down?

Across all 19 papers analysed, Sequences and Series has averaged about 1.3 questions per paper. In the last three years (2024–2026), that average has risen, at about 1.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.