Question # 1

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

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400

397

404

408

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

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

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Convergent

Divergent

Oscillatroy

None of these

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

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

An infinite sequence has no

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nth term

Last term

Sum

None of these

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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A.P.

G.P.

H.P.

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 number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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

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1

0

-1

-2

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

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

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

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G.P

H.P

G.M

None of these

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

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12

13

14

15

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

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0

1

2

3

H.M. between 3 and 7 is

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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

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

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9998

9999

10000

None of these

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

The element range of sequence are called

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Series

progression

Members

Terms

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

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

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3.5

3

4

None of these

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers

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