Question # 1

No term of a harmonic sequence can be

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0

1

2

3

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

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

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

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

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 a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

The common ration of a geometric sequence cannot be

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0

1

2

3

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

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

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

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

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

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

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Identity function

Sequence

Onto function

Series

The harmonic mean between a and b is

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The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

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

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A.P.

G.P.

H.P.

None of these

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

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

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-82

82

85

-85

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1/2

2

1/4

4

Sum of first n terms of an arithmetic series is

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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

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

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8

4

16

In an A.P,a +(n-a)d is

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1st term

General term

Last term

None of these

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

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13

-13

8

3

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 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

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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