Question # 1

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

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

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9998

9999

10000

None of these

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

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

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3.5

3

4

None of these

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

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

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3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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

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A.M

nth term

Central term

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

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

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8

4

16

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

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

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

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15

16

17

18

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

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A.M

G.M

H.M

G.P

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

-2, 1, 4, 7,.... is ______

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

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

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Series

Function

Real sequence

Range

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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

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an A.P.

a G.P.

a H.P.

None of these

The sum of first 60 natural numbers is

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1830

3660

1640

1770

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

An infinite sequence has no

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nth term

Last term

Sum

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

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

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A.P.

G.P.

H.P.

None of these

The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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15/23

7/15

7/8

15/7

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 number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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