Question # 1

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

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400

397

404

408

1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

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

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

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

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

Sum of first n terms of an arithmetic series is

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

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15

16

17

18

The sum of all 2 digit number is

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4750

3776

4895

4905

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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

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G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

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an A.P.

a G.P.

a H.P.

None of these

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

Find the next two terms of 7, 9, 12, 16,...

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18, 20

19, 22

20, 25

21, 27

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

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

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

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 p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

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A.P.

G.P.

H.P.

None of these

The harmonic mean between a and b is

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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

The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

No term of a harmonic sequence can be

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0

1

2

3

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

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