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How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?

 Aug 4, 2015

Best Answer 

 #1
avatar+128406 
+5

The sequence is given by

 

an =  a1 -3(n - 1)    where a1 is the first term and an is the nth term.....so we have......

 

-17 = 88 - 3(n - 1)      simplify

 

-17 = 88 - 3n + 3

 

-17  = 91 - 3n      subtract 91 from both sides

 

-108 = -3n        divide both sides by -3

 

36 = n   ....so...  35 terms appear before -17 

 

 

   

 Aug 4, 2015
 #1
avatar+128406 
+5
Best Answer

The sequence is given by

 

an =  a1 -3(n - 1)    where a1 is the first term and an is the nth term.....so we have......

 

-17 = 88 - 3(n - 1)      simplify

 

-17 = 88 - 3n + 3

 

-17  = 91 - 3n      subtract 91 from both sides

 

-108 = -3n        divide both sides by -3

 

36 = n   ....so...  35 terms appear before -17 

 

 

   

CPhill Aug 4, 2015

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