Question # 1

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

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

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Series

Function

Real sequence

Range

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

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136

-136

148

-148

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

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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0

1

2

3

The sum of first twenty odd integers in A.P is

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400

397

404

408

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

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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

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

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15/23

7/15

7/8

15/7

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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

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A.M

nth term

Central term

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

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

H.M. between 3 and 7 is

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

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A.P.

G.P.

H.P.

None of these

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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

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

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27

32

20

19

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

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

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

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

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

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15

16

17

18

Geometric mean between a and b is

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

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24

31

26

23

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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

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