Sequence and Series (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 5 of 8

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Question number: 1

» Sequence and Series » Geometric Progressions

Appeared in Year: 2011

MCQ▾

Question

Suppose n is a natural number such that i+2i2+3i3++nin =182, where i is the square root of – 1. Then n is –

Choices

Choice (4) Response

a.

18

b.

9

c.

36

d.

72

Question number: 2

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2011

MCQ▾

Question

The minimum value of n for which 22+42+62++(2n)212+32+52++(2n1)2<1.01

Choices

Choice (4) Response

a.

Is 101

b.

Is 121

c.

Is 151

d.

All of the above

Question number: 3

» Sequence and Series » Geometric Progressions

Appeared in Year: 2010

MCQ▾

Question

The number of natural numbers n in the interval [500, 2010] for which the polynomial 1+x+x2+x3++xn1 divides the polynomial 1+x2+x4++x2010 is –

Choices

Choice (4) Response

a.

1006

b.

503

c.

100

d.

0

Question number: 4

» Sequence and Series » Geometric Progressions

Appeared in Year: 2010

MCQ▾

Question

Suppose the sides of a triangle form a geometric progression with common ratio r. Then r lies in the interval –

Choices

Choice (4) Response

a.

(0,1+52]

b.

(1+52,2+52]

c.

(2+52,)

d.

(1+52,1+52]

Question number: 5

» Sequence and Series » Arithmetic Series

Appeared in Year: 2012

MCQ▾

Question

Define a sequence (an) by a1=5,an=a1a2an1+4 for n>1 . Then

limnanan1=?

Choices

Choice (4) Response

a.

Equals 12

b.

Equals 25

c.

Equals 1

d.

None of the above

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