VITEEE SERIES Mathematics
Sequences And Series
36 previous year questions.
Volume: 36 Ques
Yield: High
High-Yield Trend
3
2025 1
2024 7
2023 7
2022 1
2021 2
2019 1
2017 1
2015 2
2012 3
2011 3
2010 1
2009 1
2008 2
2007 1
2006 Chapter Questions 36 MCQs
01
PYQ 2006
medium
mathematics ID: viteee-2
Consider an infinite geometric series with the first term and common ratio. If its sum is 4 and the second term is , then:
1
2
3
4
02
PYQ 2007
medium
mathematics ID: viteee-2
If is the harmonic mean between and , then the value of is
1
2
3
4
03
PYQ 2007
medium
mathematics ID: viteee-2
Everybody in a room shakes hands with everybody else. The total number of handshakes in the room is
1
9
2
12
3
16
4
14
04
PYQ 2008
medium
mathematics ID: viteee-2
Let be the roots of the equation and . Then is equal to
1
2
3
0
4
05
PYQ 2009
medium
mathematics ID: viteee-2
If are all positive and are the , and terms of a geometric progression respectively, then the value of the determinant
equals
equals
1
2
3
4
06
PYQ 2010
medium
mathematics ID: viteee-2
The value of
is equal to
is equal to
1
1
2
3
0
4
None of these
07
PYQ 2010
medium
mathematics ID: viteee-2
If is function such that , and
then is equal to
then is equal to
1
2
3
4
08
PYQ 2010
medium
mathematics ID: viteee-2
If and are in GP, then are in
1
AP
2
GP
3
HP
4
None of these
09
PYQ 2011
medium
mathematics ID: viteee-2
If one AM 'A' and two GM and are inserted between two given numbers, then find the value of
1
A
2
2A
3
3A
4
4A
10
PYQ 2011
medium
mathematics ID: viteee-2
If are in HP, then will be in:
1
AP
2
GP
3
HP
4
None of these
11
PYQ 2011
medium
mathematics ID: viteee-2
For a GP, , , Find the common ratio.
1
2
2
1/2
3
3
4
1/3
12
PYQ 2012
medium
mathematics ID: viteee-2
Let be in AP and . If then are in:
1
AP
2
GP
3
HP
4
None of these
13
PYQ 2012
medium
mathematics ID: viteee-2
The sum of the series is:
1
2
3
4
14
PYQ 2015
medium
mathematics ID: viteee-2
If , then is equal to
1
2
3
4
15
PYQ 2017
medium
mathematics ID: viteee-2
If , then is:
1
2
3
4
16
PYQ 2019
medium
mathematics ID: viteee-2
Let are in A.P. with a common difference . Then are in:
1
G.P. with common ratio
2
G.P. with common ratio
3
G.P. with common ratio
4
A.P.
17
PYQ 2019
medium
mathematics ID: viteee-2
If , , and are in A.P., then the value of:
1
3
2
-3
3
0
4
None of these
18
PYQ 2021
medium
mathematics ID: viteee-2
The value of in Rolle’s Theorem for the function is:
1
2
3
4
19
PYQ 2022
medium
mathematics ID: viteee-2
The fourth, seventh, and tenth terms of a G.P. are respectively, then:
1
2
3
4
20
PYQ 2022
medium
mathematics ID: viteee-2
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
1
122
2
217
3
120
4
153
21
PYQ 2022
medium
mathematics ID: viteee-2
What is the average marks obtained by these seven students in History? (rounded off to two digits)
1
72.86
2
27.32
3
24.86
4
29.14
22
PYQ 2022
medium
mathematics ID: viteee-2
What is the total marks obtained by Meera in all the subjects?
1
448
2
580
3
470
4
74.67
23
PYQ 2022
medium
mathematics ID: viteee-2
The sum of the first n terms of the series $ $
1
2
3
4
24
PYQ 2022
medium
mathematics ID: viteee-2
If
{are in A.P., then:}
1
are in A.P.
2
are in A.P.
3
are in A.P.
4
are in A.P.
25
PYQ 2022
medium
mathematics ID: viteee-2
The middle term in the expansion of {is:}
1
2
3
4
26
PYQ 2023
easy
mathematics ID: viteee-2
For which toy category has there been a continuous increase in production over the years?
27
PYQ 2023
easy
mathematics ID: viteee-2
The area of the parallelogram whose diagonals are
is:
28
PYQ 2023
medium
mathematics ID: viteee-2
If
and then is:
1
2
2
3
3
4
4
5
29
PYQ 2023
easy
mathematics ID: viteee-2
If , , then the value of for which is perpendicular to is:
30
PYQ 2023
medium
mathematics ID: viteee-2
Find the missing number in the sequence:
1
2
3
4
31
PYQ 2023
hard
mathematics ID: viteee-2
What is the approximate percentage increase in the production of Monopoly from 1993 to 1995?
1
2
3
4
32
PYQ 2023
medium
mathematics ID: viteee-2
The determinant of the matrix:
is:
1
0
2
3
4
None of these
33
PYQ 2024
easy
mathematics ID: viteee-2
The radius of the base of a cone is increasing at the rate of 3 cm/minute and the altitude is decreasing at the rate of 4 cm/minute. The rate of change of lateral surface when the radius is 7 cm and altitude is 24 cm is:
1
2
3
4
None of these
34
PYQ 2025
medium
mathematics ID: viteee-2
If the 5th term of a G.P. is 81 and the 8th term is 6561, the first term is:
1
3
2
9
3
1
4
27
35
PYQ 2025
medium
mathematics ID: viteee-2
If the sum of the first terms of an A.P. is , then the 10th term is:
1
65
2
68
3
71
4
74
36
PYQ 2025
medium
mathematics ID: viteee-2
If the roots of the equation are in A.P., the common difference is:
1
1
2
2
3
-1
4
About Sequences And Series - VITEEE
Sequences And Series is a vital chapter for VITEEE aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Sequences And Series PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Sequences And Series carry the most weight. Then, tackle the questions iteratively to solidify your understanding.