Question # 1

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

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

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

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

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

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Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

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

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

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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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

No term of a geometric sequence can be

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0

1

2

3

A,G,H are in

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A.P

G.P

H.P

None of these

1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

Sequence also called..............

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Series

Function

progressions

Elements

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

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

H.M. between 3 and 7 is

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If the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

Sum of first n terms of an arithmetic series is

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

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13

-13

8

3

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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an A.P.

a G.P.

a 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

The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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

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15

16

17

18

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

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

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12

13

14

15

Find the geometric mean between 4 and 16

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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

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

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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