Question # 1

1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

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

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

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H.M. between 3 and 7 is

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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

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

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

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-82

82

85

-85

The sum of first twenty odd integers in A.P is

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400

397

404

408

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

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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

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geometric sequence

finite sequence

infinite sequence

arithmetic series

If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

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

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

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9998

9999

10000

None of these

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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

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54

12

4

9

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

Sum of first n terms of an arithmetic series is

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The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

The harmonic mean between a and b is

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Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

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

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

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18, 20

19, 22

20, 25

21, 27

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

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

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

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0

1

2

3

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

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sequence

progression

Series

Mean

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

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104th

106th

105th

64th

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2

-3/2

1

0

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