SOLUTION: Two terms of an arithmetic sequence are a7 = 33 and a22 = 138. Find a rule for the nth term.

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Question 388661: Two terms of an arithmetic sequence are a7 = 33 and a22 = 138. Find a rule for the nth term.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 and 



Substitute n=7




Substitute 33 for 



----------------



Substitute n=22




Substitute 138 for 



So we have this system of equations:



Solve that by substitution and get  and 

So the rule is











To check substitute n = 7 and n = 22 and see if we get 33 and 138









It checks, so the answer is



Edwin
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