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Unit 7 Review/Recovery
4. The given table of values represents terms in an arithmetic sequence.
\( \begin{array}{ccccc}n & 1 & 2 & 3 & 4 \\ T_{n} & 9 & 17 & 25 & 33\end{array} \)
4a Identify \( d \), the common difference between consecutive terms.
\( d=8 \)
4b Write a simplified expression for the general \( n \)th term of the sequence, \( T_{n} \).
\[
T_{n}=\text { Enter your next step here }
\]
Answer
T_n = 8n + 1
Step 1 ：d = T_2 - T_1 = 17 - 9
Step 2 ：d = 8
Step 3 ：T_n = T_1 + (n - 1) * d
Step 4 ：T_n = 9 + (n - 1) * 8
Step 5 ：T_n = 9 + 8n - 8
Step 6 ：T_n = 8n + 1
