Question # 1

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

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1500

72

2160

2520

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

-2, 1, 4, 7,.... is ______

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

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1

2

3/2

5/2

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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

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Common difference

Common ratio

Geometric series

Geometric mean

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

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

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125

107

108

113

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

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

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15/23

7/15

7/8

15/7

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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

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The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

A,G,H are in

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A.P

G.P

H.P

None of these

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

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 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

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

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13

-13

8

3

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

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

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

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