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