Sequence and Series (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 6 of 9

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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 Equation where Equation 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 Equation

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 Equation divides the polynomial Equation 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.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 5

» Sequence and Series » Arithmetic Series

Appeared in Year: 2012

MCQ▾

Question

Define a sequence Equation by Equation for Equation . Then

Equation

Choices

Choice (4) Response

a.

Equals Equation

b.

Equals Equation

c.

Equals 1

d.

None of the above

Question number: 6

» Sequence and Series » N Terms of Special Series (Squares & Cubes)

Appeared in Year: 2014

MCQ▾

Question

Let Equation be an integer. For a permutation Equation of Equation we let Equation . Let Equation be the sum of the roots of Equation and let Equation denote the sum over all permutation Equation of Equation of the number Equation . Then

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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