Sequence and Series-Geometric Progressions (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 3 of 3

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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 » 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: 3

» 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]

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