Question # 1

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

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Series

Function

Real sequence

Range

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

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

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9998

9999

10000

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

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

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

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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

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.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

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

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Sum of n terms of a geometric series if | r | < 1 is

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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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an A.P.

a G.P.

a H.P.

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 sum of all 2 digit number is

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4750

3776

4895

4905

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

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1

0

-1

-2

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

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

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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0

1

2

3

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

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

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

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A.P.

G.P.

H.P.

None of these

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

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

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 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

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