Question # 1

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12

13

14

15

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

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26

7

21

Cannot be determined

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

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

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

The sum of first 60 natural numbers is

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1830

3660

1640

1770

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

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

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

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1/2

2

1/4

4

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0

1

2

3

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

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

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

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No term of a harmonic sequence can be

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0

1

2

3

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

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Series

Function

Real sequence

Range

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 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 next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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 Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

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

Find the next two terms of 7, 9, 12, 16,...

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18, 20

19, 22

20, 25

21, 27

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

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