Question # 1

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

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A.P.

G.P.

H.P.

None of these

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Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

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

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

Geometric 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

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

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

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8

4

16

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.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

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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

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

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

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

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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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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0

1

2

3

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

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H.M. between 3 and 7 is

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pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

The sum of all 2 digit number is

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4750

3776

4895

4905

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1

2

3/2

5/2

The third term of a G.P. is 4, The product of first five terms is

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43

45

46

None of these

An infinite sequence has no

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nth term

Last term

Sum

None of these

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

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