Question # 1

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

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

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

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

Sum of first n terms of an arithmetic series is

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The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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15/23

7/15

7/8

15/7

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1

2

3/2

5/2

No term of a harmonic sequence can be

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0

1

2

3

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

The third term of a G.P. is 4, The product of first five terms is

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43

45

46

None of these

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

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

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Convergent

Divergent

Oscillatroy

None of these

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

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

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If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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

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Identity function

Sequence

Onto function

Series

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

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Which one represents a sequence

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an

Sn

a(n)

{an}

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

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

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

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geometric sequence

finite sequence

infinite sequence

arithmetic series

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

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

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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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