Question 1136793
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The problem is relatively easy to solve informally, without the algebraic formulas regarding arithmetic sequences.<br>
While you probably want to learn and understand those formulas, solving problems like this using logical reasoning and simple mental calculations is good mental exercise.<br>
The difference between the 9th and 17th terms of an arithmetic sequence is 8 times the common difference.  The difference between the 9th and 17th terms is 32-8=24; so the common difference is 24/8 = 3.<br>
The difference between the 1st and 9th terms is also 8 times the common difference; so the first term is 8-24 = -16.<br>
With a common difference of 3, a recursive rule for the n-th term is<br>
t(n) = t(n-1)+3<br>