Writing+Linear+Functions-Target+E-Arithmetic+Sequence-Practice+Problems

**Target E: Determine Whether a Set of Data Represents an Arithmetic Sequence**

 * Tell whether the sequence is arithmetic. If it is, find the next two terms. If it is not explain why not.**

math \textbf{1)} \ \ {22,19,16,13,10,...} math

math \textbf{2)} \ \ {2,8,32,128,512,...} math

math \textbf{3)} \ \ {63,50,37,24,11,,...} math


 * Given the table, graph the sequence and comment on whether it is a linear relationship.**

math \textbf{4)} \begin{array}{|c|c|c|c|c|c|} \hline x & \text{-}1 & 0 & 1 & 2 & 3 & 4 & 5\\ \hline f(x) & 0 & \dfrac{1}{2} & 1 & \dfrac{3}{2} & 2 & \dfrac{5}{2} & 3\\ \hline \end{array} math

math \textbf{5)} \begin{array}{|c|c|c|c|c|c|} \hline x & \text{-}1 & 0.5 & 2 & 3.5 & 5 & 6.5 & 8\\ \hline f(x) & 3.2 & 2.9 & 2.6 & 2.3 & 2 & 1.7 & 1.4\\ \hline \end{array} math

math \textbf{6)} \begin{array}{|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7\\ \hline f(x) & \text{-}3.4 &\text{-}2.9 & \text{-}2.4 & \text{-}1.9 & \text{-}1.4 &\text{-}0.9 & \text{-}0.4\\ \hline \end{array} math

math \textbf{7)} \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}6 & \text{-}5 & \text{-}4 & \text{-}3 & \text{-}2 & \text{-}1 & 0\\ \hline f(x) & 8 & 7 & 6 & 4 & 3 & 1 & 0\\ \hline \end{array} math

math \textbf{8)} \begin{array}{|c|c|} \hline x & f(x)\\ \hline -1 & \dfrac{1}{2}\\ \hline \dfrac{1}{2} & \dfrac{11}{4}\\ \hline 2 & 5\\ \hline \dfrac{7}{2} & \dfrac{29}{4}\\ \hline 5 & \dfrac{19}{2}\\ \hline \dfrac{13}{2} & \dfrac{47}{4}\\ \hline 8 & 14\\ \hline \end{array} math


 * Which would be arithemetic sequences? Justify your answer.**


 * 9) If your dorm room was 70 degrees and you and your roommate were cold. So you decided to increase it by two degrees. An hour later your roommate turned it up again to 74. Another hour passed and you consulted with your roommate and you decided to increase it by two more degrees to 76.**


 * 10) You decided to train for a 100 mile bike ride. To reach your goal you set out on a 25 week training schedule. The "big rides" each week are on Saturday. They start at 50 miles and increase by two miles each week.**


 * 11) You inherited $10,000 from your great-great-great grandfather that was given to you on your 16th birthday. You decided to spend 10% of what is in the account each year. (The account does not get any interest)**


 * 12) You take your car to the car wash. You put $4.00 worth of change into the machine and it runs for 5 minutes and shuts off. They you put another $4.00 worth of change into the machine and it runs for another 5 minutes.**


 * 13) Measure some pattern with a ruler to find a real world arithmetic sequence. Report where you found it, what the common difference is, and what the measures of the sequence are for the first 5 terms.**