Question # 1

The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

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The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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

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 #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

Which one represents a sequence

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an

Sn

a(n)

{an}

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

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

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

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

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

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3

-4

7

1

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

H.M. between 3 and 7 is

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

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24

31

26

23

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 difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

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

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15

16

17

18

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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

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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

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0

1

2

3

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

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

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