Question # 1

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

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

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geometric sequence

finite sequence

infinite sequence

arithmetic series

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

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

No term of a harmonic sequence can be

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0

1

2

3

H.M. between 3 and 7 is

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A.P.

G.P.

H.P.

None of these

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

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

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104th

106th

105th

64th

Arithmetic mean between a and b is

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The element range of sequence are called

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Series

progression

Members

Terms

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

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A.P.

G.P.

H.P.

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 sum of first 60 natural numbers is

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1830

3660

1640

1770

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

Which one represents a sequence

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an

Sn

a(n)

{an}

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

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

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Series

Function

Real sequence

Range

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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

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

No term of a geometric sequence can be

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0

1

2

3

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 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

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 x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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12

13

14

15

if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

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

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

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G.P

H.P

G.M

None of these

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

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Convergent

Divergent

Oscillatroy

None of these

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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1/2

2

1/4

4

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

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-82

82

85

-85

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10