Question # 1

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A.P.

G.P.

H.P.

None of these

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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

Geometric mean between a and b is

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The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

Arithmetic mean between a and b is

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

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Series

Function

Real sequence

Range

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

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1

2

3/2

5/2

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if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

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

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3

-4

7

1

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

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

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

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

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2

-3/2

1

0

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

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15

16

17

18

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15/23

7/15

7/8

15/7

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

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1st term

General term

Last term

None of these

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

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

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A.M

A.P

G.P

G.M

The element range of sequence are called

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Series

progression

Members

Terms

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

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