SOLUTION: What is the 17th term in the arithmetic sequence in which a-sub-6 is 101 and a-sub-9 is 83? Thank you in advance for your help!

Question 472771: What is the 17th term in the arithmetic sequence in which a-sub-6 is 101 and a-sub-9 is 83?
Thank you in advance for your help!
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
What is the 17th term in the arithmetic sequence in which a-sub-6 is 101 and a-sub-9 is 83?











So we have this system of equations:



Subtract the second equation from the 1st and get



Substitute in



















As a check, here are the first 17 terms of the sequence:

131, 125, 119, 113, 107, 101, 95, 89, 83, 77, 71, 65, 59, 53, 47, 41, 35.

The 6th, 9th and 17th terms are red:

Edwin

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