Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 39  44 of 81
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Question number: 39
» Arithmetic Progressions
Question
The sum of the first terms of the arithmetic progression is equal to half the sum of the next terms of the same progression. Find the ratio of the sum of the first terms of the progression to the sum of its first terms
Choices
Choice (4)  Response  

a.  7  
b.  8  
c.  6  
d.  5 
Question number: 40
» Arithmetic Progressions
Question
Between the numbers 5 and 50, 18 means are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  695  
b.  495  
c.  795  
d.  895 
Question number: 41
» Arithmetic Progressions
Question
If the term of an A. P are P, Q, R respectively, then equals ________
Choices
Choice (4)  Response  

a.  0  
b.  1  
c. 
 
d. 

Question number: 42
» Arithmetic Progressions
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
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: 44
» Arithmetic Progressions
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 