Question # 1

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

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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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

An infinite sequence has no

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nth term

Last term

Sum

None of these

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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

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

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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

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an A.P.

a G.P.

a H.P.

None of these

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

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

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If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

Which one represents a sequence

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an

Sn

a(n)

{an}

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 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

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

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

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 all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

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Sum of first n terms of an arithmetic series is

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Geometric mean between a and b is

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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

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 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

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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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