Question # 1

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

1 + 2 + 3 + ...... + n = ______

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1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

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

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

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A.M

A.P

G.P

G.M

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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0

1

2

3

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1/2

2

1/4

4

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2

-3/2

1

0

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

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

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27

32

20

19

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

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-82

82

85

-85

The element range of sequence are called

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Series

progression

Members

Terms

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

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

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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If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

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A. P.

G. P.

H. P.

None of these

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

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

Find the geometric mean between 4 and 16

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If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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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

Geometric mean between a and b is

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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

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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

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1500

72

2160

2520

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