Question # 1

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

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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

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Series

Function

Real sequence

Range

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an A.P.

a G.P.

a 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

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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

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

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geometric sequence

finite sequence

infinite sequence

arithmetic series

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 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

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12

13

14

15

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

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26

7

21

Cannot be determined

If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

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A. P.

G. P.

H. P.

None of these

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

The third term of a G.P. is 4, The product of first five terms is

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43

45

46

None of these

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

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1500

72

2160

2520

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

Which one represents a sequence

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an

Sn

a(n)

{an}

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

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

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Series

Function

progressions

Elements

No term of a harmonic sequence can be

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0

1

2

3

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

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The element range of sequence are called

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Series

progression

Members

Terms

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 common ration of a geometric sequence cannot be

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0

1

2

3

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

The sum of all 2 digit number is

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4750

3776

4895

4905

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

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