Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 42 - 47 of 84

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Question number: 42

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 144, and except for the eight term, 70. Find the second term of the progression if the sum of the first and the seventh terms is equal to 20.

Choices

Choice (4) Response

a.

19

b.

16

c.

18

d.

13

Question number: 43

» Arithmetic Progressions

MCQ▾

Question

In a given A. P, if the Equation term is Equation and Equation term is Equation , then its Equation term is ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 44

» Arithmetic Progressions

MCQ▾

Question

In an A. P. , the sum of first n terms is Equation , find its Equation term

Choices

Choice (4) Response

a.

224

b.

226

c.

216

d.

220

Question number: 45

» Arithmetic Progressions

MCQ▾

Question

If in an A. P. , Equation , where Equation denotes the sum of r terms of the A. P, then Equation is equal to ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 46

» Arithmetic Progressions

MCQ▾

Question

Three numbers are inserted between the 2 numbers and 30 such that an A. P. results. Find the fourth numbers.

Choices

Choice (4) Response

a.

42

b.

24

c.

23

d.

32

Question number: 47

» Arithmetic Progressions

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

Equation

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