IMO Mathematics Olympiad (SOF) Class 10: Questions 610  616 of 958
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Question number: 610
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: 611
Question
In a given A. P, if the term is and term is , then its term is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 612
Question
In an A. P. , the sum of first n terms is, find its term
Choices
Choice (4)  Response  

a.  224 

b.  226 

c.  216 

d.  220 

Question number: 613
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: 614
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: 615
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: 616
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. 

