Question # 1

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The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

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

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13

-13

8

3

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

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

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

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

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

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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

Sum of first n terms of an arithmetic series is

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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 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

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

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

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

3/2

5/2

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

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

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An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

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

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9998

9999

10000

None of these

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

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-82

82

85

-85

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The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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

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1

0

-1

-2

Sequence also called..............

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Series

Function

progressions

Elements

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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0

1

2

3

Which one represents a sequence

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an

Sn

a(n)

{an}

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

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geometric sequence

finite sequence

infinite sequence

arithmetic series

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

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

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400

397

404

408

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

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

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

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8

4

-4

8