Problem
WE 2023 Toyota GR86 2.4L H4 X 드 Car Fenders - Steel, Alumir \( \times \) \& My Apps mathspace.co/work/TopicCustomWorkout-12544063/Problem-1065284760 Leek Duck|Pokém... 10 great skateboard... LOONGTR - Gamin... Refurbished: Skytec... 2009 Nissan \( 370 Z \cdot \) T... 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, \( T_{n} \). \[ T_{n}=\text { Enter your next step here } \]
Solution
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
