Question # 1

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

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

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

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

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

H.M. between 3 and 7 is

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

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8

4

16

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12

13

14

15

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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

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

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

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

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

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An infinite sequence has no

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nth term

Last term

Sum

None of these

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

Arithmetic mean between a and b is

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

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-82

82

85

-85

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 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 S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

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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If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

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

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1500

72

2160

2520

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15/23

7/15

7/8

15/7

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