Question # 1

The sum of all 2 digit number is

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4750

3776

4895

4905

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The harmonic mean between a and b is

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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

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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

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an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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

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A.P.

G.P.

H.P.

None of these

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

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

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15/23

7/15

7/8

15/7

The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

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an A.P.

a G.P.

a H.P.

None of these

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 sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

No term of a harmonic sequence can be

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0

1

2

3

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2

-3/2

1

0

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

The nth term of an A.P., is 12-4n. Its common difference is

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8

4

16

A,G,H are in

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A.P

G.P

H.P

None of these

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

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

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1st term

General term

Last term

None of these

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

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

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