Question # 1

Which one represents a sequence

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an

Sn

a(n)

{an}

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

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

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

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

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104th

106th

105th

64th

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

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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 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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If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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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

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

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

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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an A.P.

a G.P.

a H.P.

None of these

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

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18, 20

19, 22

20, 25

21, 27

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1

2

3/2

5/2

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

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

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1st term

General term

Last term

None of these

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

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

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400

397

404

408

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

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

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

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

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