Question # 1

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

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

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A.P.

G.P.

H.P.

None of these

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

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1st term

General term

Last term

None of these

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2

-3/2

1

0

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

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

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

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9998

9999

10000

None of these

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An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

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

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

The sum of all 2 digit number is

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4750

3776

4895

4905

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

A,G,H are in

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A.P

G.P

H.P

None of these

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

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A.P.

G.P.

H.P.

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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

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

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

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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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

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An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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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

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

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

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26

7

21

Cannot be determined

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

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

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