Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 24 - 28 of 81

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Question number: 24

» Arithmetic Progressions

MCQ▾

Question

The nth term of the series 12,(12+22),(12+22+32),.. is ________

Choices

Choice (4) Response
a.

n(n+1)2

b.

n(n+1)(2n+1)6

c.

n

d.

n2(n+1)22

Question number: 25

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all three-digit natural numbers, which on being divided by 7, leave remainder equal to 3.

Choices

Choice (4) Response
a.

65, 780

b.

99, 650

c.

70, 231

d.

32, 270

Question number: 26

» Arithmetic Progressions

MCQ▾

Question

The sum of the first n terms of the arithmetic progression is equal to half the sum of the next n terms of the same progression. Find the ratio of the sum of the first 2n terms of the progression to the sum of its first 4n terms

Choices

Choice (4) Response
a.

37

b.

73

c.

43

d.

34

Question number: 27

» Arithmetic Progressions

MCQ▾

Question

Let a1,a2,andb1,b2,. Be the arithmetic progressions such that a1=50,b1=150anda200+b200=200 . The sum of the first two hundred terms of the progressions (a1+b1),(a2+b2),.. is ________

Choices

Choice (4) Response
a.

20000

b.

40000

c.

30000

d.

60000

Question number: 28

» Arithmetic Progressions

MCQ▾

Question

The value of k=14(k+k2) is ________

Choices

Choice (4) Response
a.

40

b.

30

c.

20

d.

50

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