Question # 1

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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

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

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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

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

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A.P.

G.P.

H.P.

None of these

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

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400

397

404

408

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

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

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The common ration of a geometric sequence cannot be

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0

1

2

3

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

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General term

Common ratio

Common difference

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

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

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2(c - a)

2(f - d)

2(d - c)

d - c

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

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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

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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

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

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

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Series

Function

Real sequence

Range

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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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

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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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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

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