Question # 1

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

Geometric mean between a and b is

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A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

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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

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

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

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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The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

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The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

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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

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

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

The 7th term of the A.P 7,11,15,is

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24

31

26

23

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

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54

12

4

9

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

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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

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

No term of a harmonic sequence can be

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0

1

2

3

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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

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

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

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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

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

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

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 infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

The harmonic mean between a and b is

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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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4