SOLUTION: If the third term of an arithmetic sequence is 14 and the eighth term is -1, find the values of a1 and d of the sequence.

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Question 394654: If the third term of an arithmetic sequence is 14 and the eighth term is -1, find the values of a1 and d of the sequence.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad
a%5B3%5D=a%5B1%5D%2B2%2Ad=+14
a%5B8%5D=a%5B1%5D%2B7%2Ad=+-1
-5d = 15 |subtracting 2nd equation from 1st to eliminate a%5B1%5D
d = -3
a%5B1%5D+-6+=+14 |substituting d into a%5B1%5D%2B2%2Ad=+14
a%5B1%5D+=+20
CHECKING our Answer
a%5B8%5D=20+%2B+7%2A%28-3%29=+-1