Question # 1

The sum of first 60 natural numbers is

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1830

3660

1640

1770

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

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The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

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

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

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

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

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

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

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

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 a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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

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

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3

-4

7

1

In an A.P,a +(n-a)d is

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1st term

General term

Last term

None of these

If a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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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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15/23

7/15

7/8

15/7

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

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A.P

Real Sequence

G.P

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

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1/2

2

1/4

4

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

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

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

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G.P

H.P

G.M

None of these

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^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

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

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