Question # 1

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 next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

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

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

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

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

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

An infinite sequence has no

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nth term

Last term

Sum

None of these

The harmonic mean between a and b is

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

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136

-136

148

-148

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

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

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

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8

4

16

1 + 2 + 3 + ...... + 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

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

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

The element range of sequence are called

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Series

progression

Members

Terms

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

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

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

Which one represents a sequence

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an

Sn

a(n)

{an}

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

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

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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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0

1

2

3

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12

13

14

15

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

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