Question # 1

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 three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

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

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

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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

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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Geometric mean between a and b is

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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

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

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 sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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 common ration of a geometric sequence cannot be

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0

1

2

3

A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

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15/23

7/15

7/8

15/7

A,G,H are in

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A.P

G.P

H.P

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

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1/2

2

1/4

4

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

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54

12

4

9

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

The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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

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1

0

-1

-2

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

The sum of first twenty odd integers in A.P is

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400

397

404

408

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

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

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12

13

14

15

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

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

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A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these