Question # 1

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

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

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

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A.P.

G.P.

H.P.

None of these

-2, 1, 4, 7,.... is ______

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

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

Sum of first n terms of an arithmetic series is

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A sequence is a functions whose domain is a subset of the set of

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Natural numbers

Real numbers

Whole numbers

Rational numbers

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 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 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

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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15/23

7/15

7/8

15/7

A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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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

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

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400

397

404

408

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

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136

-136

148

-148

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1

2

3/2

5/2

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

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

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24

31

26

23

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

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

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. 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

Sum of n terms of a geometric series if | r | < 1 is

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No term of a geometric sequence can be

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0

1

2

3

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

No term of a harmonic sequence can be

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0

1

2

3

The sum of first 60 natural numbers is

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1830

3660

1640

1770

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