Sequence and Series (KVPY Stream-SA (Class 11) Math): Questions 1 - 6 of 15

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Question number: 1

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2011

MCQ▾

Question

The expression, 22+1221+32+1321+42+1421++(2011)2+1(2011)21 lies in interval

Choices

Choice (4) Response

a.

(2011t2011;2011t2012)

b.

(2011,201112)

c.

(2010,201012)

d.

(2012,201212)

Question number: 2

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2012

MCQ▾

Question

If a, b, c, d are positive real numbers such that, a3=a+b4=a+b+c5=a+b+c+d6 , then ab+2c+3d is

Choices

Choice (4) Response

a.

1

b.

12

c.

2

d.

All of the above

Question number: 3

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2010

MCQ▾

Question

The number of positive integers n in the set {1, 2, 3, …, 100} for which the number

12+22+32++n21+2+3++n is an integer is

Choices

Choice (4) Response

a.

4

b.

6

c.

7

d.

14

Question number: 4

» Sequence and Series » Arithmetic Series

Appeared in Year: 2014

MCQ▾

Question

The value of,

n=0194712n+21947

Is equal to?

Choices

Choice (4) Response

a.

48721945

b.

194721947

c.

194621947

d.

194821947

Question number: 5

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2014

MCQ▾

Question

The sum of all positive integers n for which

13+23++(2n)312+22++n2

Is also an integer is

Choices

Choice (4) Response

a.

9

b.

Infinite

c.

8

d.

15

Question number: 6

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2013

MCQ▾

Question

Let a, b, c, d, e be natural numbers in an arithmetic progression such that a + b + c + d + e is the cube of an integer and b + c + d is square of an integer. The least possible value of the number of digits of c is.

Choices

Choice (4) Response

a.

5

b.

2

c.

4

d.

3

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