Question # 1

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

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

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

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65

67

71

75

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

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0

1

2

3

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

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A.P.

G.P.

H.P.

None of these

Arithmetic mean between a and b is

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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

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 nth term of an A.P., is 12-4n. Its common difference is

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8

4

16

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

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

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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

Geometric mean between a and b is

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

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

No term of a geometric sequence can be

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0

1

2

3

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Sum of first n terms of an arithmetic series is

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

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13

-13

8

3

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

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

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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

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The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

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 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

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