Question # 1

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

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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1

2

3/2

5/2

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

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 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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1/2

2

1/4

4

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

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

-2, 1, 4, 7,.... is ______

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

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

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

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The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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12

13

14

15

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

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125

107

108

113

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

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

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

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For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

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

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13

-13

8

3

The element range of sequence are called

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Series

progression

Members

Terms

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

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9998

9999

10000

None of these

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

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 common ration of a geometric sequence cannot be

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0

1

2

3

The sum of first 60 natural numbers is

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1830

3660

1640

1770

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

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Series

Function

progressions

Elements

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

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

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

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