Question # 1

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

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

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

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15

16

17

18

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

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

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

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Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

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

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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

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A.P.

G.P.

H.P.

None of these

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

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 general term of a sequence is denoted by

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a₁

a_n

n

s_n

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

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27

32

20

19

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

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Identity function

Sequence

Onto function

Series

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

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

H.M. between 3 and 7 is

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Find the geometric mean between 4 and 16

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

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an A.P.

a G.P.

a H.P.

None of these

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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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

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

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 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

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