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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 2
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Question # 3
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 4
an -an-1,∀n∈N∧n>1 in an A.P is called
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Common difference
nth term
Common ratio
None of these
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Question # 5
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 6
Which term of the A.P 5,8,11,24.............is 320
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104th
106th
105th
64th
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Question # 7
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 8
If x,y are two -ve distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 9
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 10
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 11
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 12
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 13
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 14
The harmonic mean between a and b is
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Question # 15
If Sn is a definite number as n → ∞,then the geometric series is
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Convergent
Divergent
Oscillatroy
None of these
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Question # 16
How many numbers are there between 103 and 750 which are divisible by 6
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125
107
108
113
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Question # 17
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 18
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 19
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2
-3/2
1
0
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Question # 20
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
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A.P.
G.P.
H.P.
None of these
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Question # 21
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 22
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
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q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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Question # 23
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Question # 24
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
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7
9
11
13
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Question # 25
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
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2
9
2
10
2
11
2
8
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Question # 26
If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
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A.M
G.M
H.M
G.P
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Question # 27
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 28
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 29
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an A.P.
a G.P.
a H.P.
None of these
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Question # 30
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 31
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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