Question # 1

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

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

The common ration of a geometric sequence cannot be

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0

1

2

3

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

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

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8

4

16

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

No term of a geometric sequence can be

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0

1

2

3

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 difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

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

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

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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

Arithmetic mean between a and b is

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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 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

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

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

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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

Sum of first n terms of an arithmetic series is

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The harmonic mean between a and b is

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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

Sequence also called..............

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Series

Function

progressions

Elements

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

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

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

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