Question # 1

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

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Infinite series

Harmonic series

Geometric series

Arithmetic series

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

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15/23

7/15

7/8

15/7

If a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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Sequence also called..............

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Series

Function

progressions

Elements

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

Arithmetic mean between a and b is

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How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

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

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

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18, 20

19, 22

20, 25

21, 27

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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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers

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