Question # 1

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

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

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

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26

7

21

Cannot be determined

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

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24

31

26

23

If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

Geometric mean between a and b is

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an A.P.

a G.P.

a H.P.

None of these

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

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

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

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20

17

25

30

The sum of first 60 natural numbers is

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1830

3660

1640

1770

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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A.P.

G.P.

H.P.

None of these

An infinite sequence has no

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nth term

Last term

Sum

None of these

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

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

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The harmonic mean between a and b is

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In an A.P,a +(n-a)d is

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1st term

General term

Last term

None of these

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

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

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No term of a harmonic sequence can be

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0

1

2

3

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

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

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18, 20

19, 22

20, 25

21, 27

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

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General term

Common ratio

Common difference

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

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

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

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