The given table of values represents terms in an arithmetic sequence.
\( \begin{array}{ccccc}n & 1 & 2 & 3 & 4 \\ T_{n} & 9 & 17 & 25 & 33\end{array} \)
Identify \( d \), the common difference between consecutive terms.
\( d=8 \)
Write a simplified expression for the general \( n \)th term of the sequence, \( T_{n} \).
\[
T_{n}=\text { Enter your next step here }
\]
\( \stackrel{+\infty}{x \div} \quad(1) \quad \frac{\pi}{1} \quad a^{b} \quad \frac{a}{b} \)

Answer

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Answer

\( T_n = 9 + (n-1)8 \)

Steps

Step 1 ：\( d = T_2 - T_1 = 17 - 9 \)

Step 2 ：\( d = 8 \)

Step 3 ：\( T_n = T_1 + (n-1)d \)

Step 4 ：\( T_n = 9 + (n-1)8 \)