Question # 1

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

The sum of first twenty odd integers in A.P is

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400

397

404

408

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

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Convergent

Divergent

Oscillatroy

None of these

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

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

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

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125

107

108

113

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

Geometric mean between a and b is

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The sum of first 60 natural numbers is

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1830

3660

1640

1770

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

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

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

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13

-13

8

3

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

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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

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

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sequence

progression

Series

Mean

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

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

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1500

72

2160

2520

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

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

No term of a geometric sequence can be

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0

1

2

3

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

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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Find the next two terms of 7, 9, 12, 16,...

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18, 20

19, 22

20, 25

21, 27

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

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A.P.

G.P.

H.P.

None of these

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

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 a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

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

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

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12

13

14

15

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

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Series

Function

Real sequence

Range

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0