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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If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

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 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

Sequence also called..............

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Series

Function

progressions

Elements

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2

-3/2

1

0

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

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

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

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15/23

7/15

7/8

15/7

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

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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

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

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

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 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

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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 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

A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

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

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3.5

3

4

None of these

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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Sum of first n terms of an arithmetic series is

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No term of a geometric sequence can be

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0

1

2

3

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

The sum of all 2 digit number is

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4750

3776

4895

4905

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

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

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1500

72

2160

2520

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

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