Problem
The given table of values represents terms in an arithmetic sequence. \( \begin{array}{lllll}n & 1 & 2 & 3 & 4 \\ T_{n} & 9 & 17 & 25 & 33\end{array} \) Identify \( d \), the common difference between consecutive terms. \( d=8 \) Write a simplified expression for the general \( n \)th term of the sequence, \( T_{n} \). \( T_{n}= \) Enter your next step here
Solution
Step 1 ：\( d=T_{2}-T_{1}=17-9=8 \)
Step 2 ：\( T_{1}=9 \)
Step 3 ：\( T_{n}=T_{1}+(n-1)d=9+(n-1)8 \)
