Question # 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

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

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

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1/2

2

1/4

4

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

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

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

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-82

82

85

-85

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A.P.

G.P.

H.P.

None of these

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

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sequence

progression

Series

Mean

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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

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The nth term of an A.P., is 12-4n. Its common difference is

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8

4

16

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For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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

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1500

72

2160

2520

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

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The element range of sequence are called

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Series

progression

Members

Terms

The sum of all 2 digit number is

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4750

3776

4895

4905

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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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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 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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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

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

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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

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