Sequence and Series-Arithmetic Series (KVPY Stream-SA (Class 11) Math): Questions 1 - 6 of 7

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Question number: 1

» 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: 2

» Sequence and Series » Arithmetic Series

Appeared in Year: 2015

MCQ▾

Question

If n is the smallest natural number such that n + 2n + 3n + … + 99n is a perfect square, then the number of digits in n2 is

Choices

Choice (4) Response

a.

2

b.

1

c.

3

d.

more than 3

Question number: 3

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If a1, a1, a1, …, an be an A. P. of non-zero terms, than;

1a1a2+1a2a3+1a3a4++1an1an=?

Choices

Choice (4) Response

a.

na1an

b.

n1a1an

c.

2nana1

d.

2n1ana1

Question number: 4

» Sequence and Series » Arithmetic Series

MCQ▾

Question

The fifth term of an A. P. is equal to four times the first term and the twice ninth term exceeds three times the fourth term by one. The first term and common difference of A. P. are –

Choices

Choice (4) Response

a.

a=25,d=5

b.

a=3,d=94

c.

a=45,d=35

d.

a=25,d=15

Question number: 5

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If n is the smallest natural number such that n + 2n + 3n + … + 66n is a perfect square, then the value of n2 is –

Choices

Choice (4) Response

a.

4489

b.

36

c.

1089

d.

484

Question number: 6

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If n is the largest natural number such that n + 2n + 3n + … + 70n is a perfect square, then the value of n is –

Choices

Choice (4) Response

a.

497

b.

490

c.

520

d.

637

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