Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 77 - 81 of 81

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Question number: 77

» Arithmetic Progressions

MCQ▾

Question

If S=1222+3242 up to n terms and n is even, then S equals________

Choices

Choice (4) Response
a.

n(n+1)2

b.

n(n1)2

c.

n(n+1)2

d.

n(n1)2

Question number: 78

» Arithmetic Progressions

MCQ▾

Question

Let sn denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by d=SnKSn1+Sn2, then K is equal to ________ ________

Choices

Choice (4) Response
a.

2

b.

1

c.

4

d.

3

Question number: 79

» Arithmetic Progressions

MCQ▾

Question

Product of the fourth term and the fifth term of an arithmetic progression is 594. Division of the ninth term by the fourth term of the progression gives quotient as 2 and the remainder as 3. Find the first term of the progression

Choices

Choice (4) Response
a.

9

b.

6

c.

4

d.

7

Question number: 80

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.

Choices

Choice (4) Response
a.

5

b.

15

c.

10

d.

8

Question number: 81

» Arithmetic Progressions

MCQ▾

Question

If a, b, c are in A. P, then a3+4b3+c3 is equal to ________

Choices

Choice (4) Response
a.

3b(a2+c2)

b.

3b(c2a2)

c.

3b(a2c2)

d.

3b2(a2+c2)

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