Arithmetic Progression: Finding the Sum of Terms with Given Conditions

AI Thread Summary
The discussion revolves around finding the sum of terms in an arithmetic progression where the first two terms are 5 and 9, and the last term is the only one exceeding 200. A participant seeks clarification on the phrase "the last term in the progression is the only term which is greater than 200," concluding that it implies the first nine terms are less than or equal to 200, with only the tenth term exceeding this value. The conversation highlights the importance of understanding the conditions set in the problem to solve it effectively. The clarification aids in determining how to calculate the sum of all terms in the progression. Overall, the discussion emphasizes the significance of interpreting mathematical conditions accurately.
harimakenji
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Homework Statement


the first two terms in an arithmetic progression are 5 and 9. The last term in the progression is the only term which is greater than 200. Find the sum of all the terms in the progression


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The Attempt at a Solution


I want to ask : what is the meaning of "The last term in the progression is the only term which is greater than 200" ?
 
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say there are 10 terms

the first 9 are less than or equal or 200, the 10th one is greater than 200
 
I get the meaning now. Thanks a bunch friend !
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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