Question # 1

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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 nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

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an A.P.

a G.P.

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

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G.P

H.P

G.M

None of these

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

No term of a harmonic sequence can be

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0

1

2

3

Find the geometric mean between 4 and 16

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The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

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

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

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

The sum of first 60 natural numbers is

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1830

3660

1640

1770

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

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

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

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

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104th

106th

105th

64th

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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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 formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

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

A,G,H are in

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A.P

G.P

H.P

None of these

Which one represents a sequence

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an

Sn

a(n)

{an}

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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers

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