Question # 1

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The harmonic mean between a and b is

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

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

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

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26

7

21

Cannot be determined

If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

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0

1

2

3

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

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

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A.M

nth term

Central term

None of these

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

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 the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

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

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

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

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Series

Function

Real sequence

Range

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

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

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 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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

In an A.P,a +(n-a)d is

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1st term

General term

Last term

None of these

Which one represents a sequence

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an

Sn

a(n)

{an}

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

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Identity function

Sequence

Onto function

Series

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

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