Question # 1

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

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1

0

-1

-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

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 n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

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

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

H.M. between 3 and 7 is

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1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

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No term of a harmonic sequence can be

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0

1

2

3

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

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

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

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 nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

1 + 2 + 3 + ...... + n = ______

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Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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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

A,G,H are in

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A.P

G.P

H.P

None of these

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The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

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

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sequence

progression

Series

Mean

No term of a geometric sequence can be

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0

1

2

3

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

If the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

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

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