Question # 1

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

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

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Identity function

Sequence

Onto function

Series

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

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

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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

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

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

Which one represents a sequence

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an

Sn

a(n)

{an}

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

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 the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

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

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9998

9999

10000

None of these

Arithmetic mean between a and b is

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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

H.M. between 3 and 7 is

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1

2

3/2

5/2

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2

-3/2

1

0

If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

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

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26

7

21

Cannot be determined

A,G,H are in

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A.P

G.P

H.P

None of these

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

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

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Common difference

Common ratio

Geometric series

Geometric mean

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

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

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

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

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

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13

-13

8

3

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