Question # 1

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, 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

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15/23

7/15

7/8

15/7

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

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A.P.

G. P.

H. P.

None of these

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

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A.P.

G.P.

H.P.

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 60 natural numbers is

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1830

3660

1640

1770

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

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65

67

71

75

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

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

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

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13

-13

8

3

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

H.M. between 3 and 7 is

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For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

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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

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

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

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

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

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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

A sequence is a functions whose domain is a subset of the set of

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Natural numbers

Real numbers

Whole numbers

Rational numbers

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

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

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