ECAT Pre Engineering MCQ Test With Answer for Chapter 8 Mathematics

MCQ's Test For ECAT Mathematics Chapter 8 Sequences and Series

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ECAT Mathematics Chapter 8 Sequences and Series

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Question # 1

Find the next two terms of 7, 9, 12, 16,...

Question # 2

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

Question # 3

The sum of an indicated number of terms in a sequence is called

Question # 4

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

Question # 5

The series obtained by adding the terms of an arithmetic sequence is called the

Question # 6

If the domain of sequence is finite set then the sequence is called

Question # 7

Which term of the A.P 5,8,11,24.............is 320

Question # 8

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

Question # 9

3, 6, 12,.... is

Question # 10

The sum of indicated terms of a sequence is called

Question # 11

The 6th term of the sequence 7,9,12,16......is

Question # 12

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then xy-z. yz-x. zx-yeqals

Question # 13

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

Question # 14

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

Question # 15

Sum of n terms of a geometric series if | r | < 1 is

Question # 16

No term of a harmonic sequence can be

Question # 17

The nth term of an A.P is (3n+5) Its 75th term is

Question # 18

Arithmetic mean between a and b is

Question # 19

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

Question # 20

The difference of two consecutive terms of an A.P. is called ______

Question # 21

The 7th term of the A.P 7,11,15,is

Question # 22

A Geometric Series is divergent only if

Question # 23

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

Question # 24

If a1, r and anare the first term, common ratio and the nth term respectively of a G. P. then an=

Question # 25

The sum of an infinite geometric series exist if

Question # 26

If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

Question # 27

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

Question # 28

The formula an = a +(n-1)d for an A.P is called

Question # 29

1,1/3,1/5,1/7,1/9..... is a

Question # 30

If ax= by= czand a, b, c are in G.P. then x, y, z are in

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ECAT Mathematics Chapter 8 Important MCQ's

Sr.# Question Answer
1 The sum of an infinite geometric series exist if
A. | r | < 1
B. | r | > 1
C. r = 1
D. r = -1
2
Question Image
A. 2
B. -3/2
C. 1
D. 0
3 The nth term of an A.P is (3n+5) Its 75th term is
A. 26
B. 7
C. 21
D. Cannot be determined
4 If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
A. A.M
B. G.M
C. H.M
D. G.P
5 Arithmetic mean between x - 3 and x + 5 is
A. x + 1
B. x + 2
C. x + 3
D. x + 4
6 The sixth term of the sequence 1,3,12,60....is
A. 1500
B. 72
C. 2160
D. 2520
7 A Geometric Series is divergent only if
A. |r|>1
B. |r|≥1
C. |r|=1
D. None of these
8 If a1, r and anare the first term, common ratio and the nth term respectively of a G. P. then an=
A. a1rn
B. a1rn-1
C. a1rn+1
D. a1r
9 If a, b, c are in A.P., then 3a, 3b, 3care in
A. A.P.
B. G.P.
C. H.P.
D. None of these
10 If a, b, c are in AP., a, b, c are in G.P. then A, m2b, c are in
A. A.P.
B. G.P.
C. H.P.
D. None of these

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