Question # 1

The sum of first 60 natural numbers is

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1830

3660

1640

1770

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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If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

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Sum of n terms of a geometric series if | r | < 1 is

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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 consecutive terms of a progressions are 30, 24, 20. The next term of the progression 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

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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

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

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A.M

nth term

Central term

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

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

The common ration of a geometric sequence cannot be

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0

1

2

3

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

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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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

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

Find the geometric mean between 4 and 16

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

The harmonic mean between a and b is

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Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

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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 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

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

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1/2

2

1/4

4

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

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

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Series

Function

Real sequence

Range

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

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