Question # 1

Which one represents a sequence

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an

Sn

a(n)

{an}

If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

1 + 2 + 3 + ...... + n = ______

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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

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

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1st term

General term

Last term

None of these

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 x,y are two positive 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

The 7th term of the A.P 7,11,15,is

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24

31

26

23

The sum of first 60 natural numbers is

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1830

3660

1640

1770

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

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

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Series

Function

Real sequence

Range

The common ration of a geometric sequence cannot be

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0

1

2

3

The element range of sequence are called

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Series

progression

Members

Terms

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

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

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

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 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

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

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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

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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

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

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

A,G,H are in

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A.P

G.P

H.P

None of these

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

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