IMO Mathematics Olympiad (SOF) Class 10: Questions 629  634 of 958
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Question number: 629
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: 630
Question
If the term of an A. P. is and term is, then the sum of first terms is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 631
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. 


b. 


c. 


d. 


Question number: 632
Question
If , then is equal to ________
Choices
Choice (4)  Response  

a.  1323 

b.  1353 

c.  1553 

d.  1243 

Question number: 633
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 

Question number: 634
Question
In an A. P. , the sum of first n terms is, find its term
Choices
Choice (4)  Response  

a.  126 

b.  175 

c.  179 

d.  178 
