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

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

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8

4

16

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

The element range of sequence are called

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Series

progression

Members

Terms

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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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 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

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

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

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

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

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

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

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

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

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sequence

progression

Series

Mean

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

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-82

82

85

-85

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

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

Which one represents a sequence

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an

Sn

a(n)

{an}

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

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1

2

3/2

5/2

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

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

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

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

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27

32

20

19

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

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15

16

17

18

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

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geometric sequence

finite sequence

infinite sequence

arithmetic series

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