Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 60 - 65 of 84

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Question number: 60

» Arithmetic Progressions

MCQ▾

Question

The sum of the first term and the fifth term of an ascending A. P. is 30 and the product of the second term by the fourth term is 200. Find the sum of the first seven terms of this A. P

Choices

Choice (4) Response

a.

140

b.

130

c.

190

d.

160

Question number: 61

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10.

Choices

Choice (4) Response

a.

10

b.

15

c.

5

d.

8

Question number: 62

» Arithmetic Progressions

MCQ▾

Question

If the Equation term of an A. P. is Equation and Equation term isEquation , then the sum of first Equation terms is ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 63

» Arithmetic Progressions

MCQ▾

Question

If four numbers are in A. P. such that their sum is 20 and the greatest number is 2 times the least, then the numbers are ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 64

» Arithmetic Progressions

MCQ▾

Question

If Equation , then Equation is equal to ________

Choices

Choice (4) Response

a.

1323

b.

1353

c.

1553

d.

1243

Question number: 65

» Arithmetic Progressions

MCQ▾

Question

The sum of the first term and the fifth term of an ascending A. P. is 26 and the product of the second term by the fourth term is 160. Find the sum of the first seven terms of this A. P

Choices

Choice (4) Response

a.

112

b.

114

c.

116

d.

110

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