SOLUTION: Write the formula for the general (nth term) of the following arithmetic sequence. (Do not use a recursive formula.) Then use your formula to find the 17th term. 3, 9, 15, 21,

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the formula for the general (nth term) of the following arithmetic sequence. (Do not use a recursive formula.) Then use your formula to find the 17th term. 3, 9, 15, 21,       Log On


   

Question 46873This question is from textbook COLLEGE ALGEBRA
: Write the formula for the general (nth term) of the following arithmetic sequence. (Do not use a recursive formula.) Then use your formula to find the 17th term.
3, 9, 15, 21, 27, 33, … This question is from textbook COLLEGE ALGEBRA

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
In general, the nth term of an arithmetic sequence is given by
a(n) = a(1) + (n-1)d
In our given sequence, a(1) = 3, n = 17, and d = 6 (the common difference)...thus we get
a(n) = 3 + (n-1)(6)
a(17) = 3 + (17-1)(6)
a(17) = 3 + 96 = 99