Question # 1

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

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G.P

H.P

G.M

None of these

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

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

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

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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_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

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65

67

71

75

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

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8

4

-4

8

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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

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 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 sum of first twenty odd integers in A.P is

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400

397

404

408

The sum of first 60 natural numbers is

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1830

3660

1640

1770

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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 third term of a G.P. is 4, The product of first five terms is

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43

45

46

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

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

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

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

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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0

1

2

3

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Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

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

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

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

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 next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

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

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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