SOLUTION: If 3rd term of an A.P is four times the first term and 6th term is 17, find the A.P

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Question 897840: If 3rd term of an A.P is four times the first term and 6th term is 17, find the A.P
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a%5Bn%5D+=+a%5B1%5D+%2B%28n-1%29d+
a%5B3%5D+=+4a%5B1%5D+=+a%5B1%5D+%2B2d+
3a%5B1%5D+=+2d}
a%5B1%5D+=+2d%2F3***
a%5B6%5D+=+17+=+a%5B1%5D+%2B+5d
a%5B1%5D+=+17-5d***
+2d%2F3+=+17-5d
2d = 51 - 15d
17d = 51
d = 3 and a%5B1%5D+=+2
{2, 5, 8, 11, 14, 17...}