Question # 1

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

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

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

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24

31

26

23

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

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 number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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

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3.5

3

4

None of these

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

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

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-82

82

85

-85

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

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

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

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

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sequence

progression

Series

Mean

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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

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

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Sum of first n terms of an arithmetic series is

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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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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 G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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

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3

-4

7

1

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

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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