Question # 1

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

Choose an answer

3/4

1/4

1

None of these

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

Choose an answer

Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

If a, b, c, d, e, f are in A.P.,then e-c is equal to

Choose an answer

2(c - a)

2(f - d)

2(d - c)

d - c

The element range of sequence are called

Choose an answer

Series

progression

Members

Terms

Choose an answer

2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

No term of a harmonic sequence can be

Choose an answer

0

1

2

3

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

Choose an answer

2

26

27

1

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

Choose an answer

A.P.

G.P.

H.P.

None of these

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

Choose an answer

3.5

3

4

None of these

Arithmetic mean between a and b is

Choose an answer

Sequence also called..............

Choose an answer

Series

Function

progressions

Elements

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

Choose an answer

A.M

nth term

Central term

None of these

The difference of two consecutive terms of an A.P is called the

Choose an answer

Common difference

Common ratio

Geometric series

Geometric mean

If the domain of sequence is finite set then the sequence is called

Choose an answer

geometric sequence

infinite sequence

finite sequence

arithmetic sequence

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

Choose an answer

An infinite sequence has no

Choose an answer

nth term

Last term

Sum

None of these

Choose an answer

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

Choose an answer

A.P.

G. P.

H. P.

None of these

A sequence having no last term is called

Choose an answer

arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

Choose an answer

n, a, b

n, a

n, b

n

Arithmetic mean between x - 3 and x + 5 is

Choose an answer

x + 1

x + 2

x + 3

x + 4

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

Choose an answer

1500

72

2160

2520

1,1/3,1/5,1/7,1/9..... is a

Choose an answer

geometric sequence

finite sequence

infinite sequence

arithmetic series

The sum of n terms of a series is denoted by

Choose an answer

d

n

S_n

a_n

Choose an answer

0

1

2

3

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

Choose an answer

Finite

Infinite

May or may not finite

None of these

The sum of indicated terms of a sequence is called

Choose an answer

Arithmetic series

Series

Harmonic series

None of these

Choose an answer

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

Choose an answer

The 6th term of the sequence 7,9,12,16......is

Choose an answer

27

32

20

19

The formula an = arn-1represents

Choose an answer

nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

Choose an answer

A.M

G.M

H.M

G.P

A number A is called the arithmetic mean between a and b if a, A, b is ______

Choose an answer

Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

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

Choose an answer

A.P.

G.P.

H.P.

None of these

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

Choose an answer

2 and 64

64 and 3

64 and 4

None of these

Find the geometric mean between 4 and 16

Choose an answer

The 31 term of the A.P 5,2,-1.....is

Choose an answer

-82

82

85

-85