Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 45  50 of 84
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Question number: 45
» Arithmetic Progressions
Question
If in an A. P. , , where denotes the sum of r terms of the A. P, then is equal to ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 46
» Arithmetic Progressions
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
Question
If the sum of terms of an A. P. is and the sum of terms is , then the sum of terms is ________
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d. 


Question number: 48
» Arithmetic Progressions
Question
If the sum of first n even natural numbers is equal to K times the sum of first n odd natural numbers, and then K is equal to ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 49
» Arithmetic Progressions
Question
If Belongs to A. P. such that , then the value of equals ________
Choices
Choice (4)  Response  

a.  1584 

b.  1654 

c.  1650 

d.  1325 

Question number: 50
» Arithmetic Progressions
Question
A circle with area is contained in the interior of a larger circle with area . If the radius of the larger circle is 3 units and are in A. P. , then the radius of the smaller circle is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

