Question # 1

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

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

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

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

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8

4

16

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

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

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

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

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

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

A,G,H are in

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A.P

G.P

H.P

None of these

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

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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 indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

Sum of first n terms of an arithmetic series is

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3, 6, 12,.... is

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A.P

G.P.

H.P.

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

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

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A.P

Real Sequence

G.P

None of these

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

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G.P

H.P

G.M

None of these

The harmonic mean between a and b is

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

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104th

106th

105th

64th

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

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

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

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

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

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 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

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

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 sum of n terms of a series is denoted by

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d

n

S_n

a_n

H.M. between 3 and 7 is

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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

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

No term of a harmonic sequence can be

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0

1

2

3

The sum of all 2 digit number is

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4750

3776

4895

4905