Question # 1

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

The element range of sequence are called

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Series

progression

Members

Terms

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

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

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

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125

107

108

113

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

The nth term of an A.P., is 12-4n. Its common difference is

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8

4

16

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

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

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

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

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12

13

14

15

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

Sum of first n terms of an arithmetic series is

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If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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an A.P.

a G.P.

a H.P.

None of these

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 sum of first 60 natural numbers is

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1830

3660

1640

1770

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

No term of a harmonic sequence can be

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0

1

2

3

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

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 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

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

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