SOLUTION: write a rule for thrnth term of the arithmetic sequence.... a6=-31,a14=-135

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Question 613049: write a rule for thrnth term of the arithmetic sequence....
a6=-31,a14=-135
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
there are 8 terms from a6 to a14; the difference is -104 (-135 - -31)
___ so the common difference between two consecutive terms is -13 (-104 / 8)

an = -13n + ?

substitute to find the "fudge factor" ___ a6 = -13(6) + ? ___ -31 = -78 + ? ___ 47 = ?

an = -13n + 47