Question # 1

If a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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

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24

31

26

23

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A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

Find the geometric mean between 4 and 16

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

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27

32

20

19

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

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

Arithmetic mean between a and b is

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Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

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

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

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

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

If a, b, c are in A.P., then 3^a, 3^b, 3^care 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

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

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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2

-3/2

1

0

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0

1

2

3

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

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

1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

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

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1500

72

2160

2520

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

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