SOLUTION: Find the number of terms in this sequence 12;7;2;....-203

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Question 843121: Find the number of terms in this sequence 12;7;2;....-203
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

sequence 12,7,2,....-203

Arithemetic, d = -5

a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad

a%5Bn%5D=12%2B%28n-1%29%2A%28-5%29+=+-203

      12 - -5n + 5 = -203

       -5n = -220

         n = 44, the number of terms in this sequence

CHECKING our answer***

   12 + 43•(-5) = -203

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