Question # 1

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

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The harmonic mean between a and b is

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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

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

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

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

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125

107

108

113

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

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Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

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

The common ration of a geometric sequence cannot be

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0

1

2

3

Which one represents a sequence

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an

Sn

a(n)

{an}

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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2⁹

2¹⁰

2¹¹

2⁸

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

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The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

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A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

An infinite sequence has no

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nth term

Last term

Sum

None of these

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

A,G,H are in

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A.P

G.P

H.P

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

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

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