SOLUTION: Please help me with this problem The 16th term of an A.P is 93, given that its common difference is 6, find the first and the 28th terms

Algebra ->  Sequences-and-series -> SOLUTION: Please help me with this problem The 16th term of an A.P is 93, given that its common difference is 6, find the first and the 28th terms       Log On


   



Question 1083996: Please help me with this problem
The 16th term of an A.P is 93, given that its common difference is 6, find the first and the 28th terms

Answer by MathTherapy(10552) About Me  (Show Source):
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Please help me with this problem
The 16th term of an A.P is 93, given that its common difference is 6, find the first and the 28th terms
Formula for a term in an AP: a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d
a%5B16%5D+=+a%5B1%5D+%2B+%2816+-+1%29+%2A+6 ---- Substituting 16 for n, and 6 for d (common difference)
93+=+a%5B1%5D+%2B+15%286%29 -------- Substituting 93 for a%5B16%5D

Formula for a term in an AP: a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d
a%5B28%5D+=+3+%2B+%2828+-+1%29+%2A+6 ------ Substituting 28 for n, 3 for a%5B1%5D, and 6 for d (common difference)