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

Answer

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Answer

\( T_{n}=T_{1}+(n-1)d=9+(n-1)8 \)

Steps

Step 1 ：\( d=T_{2}-T_{1}=17-9=8 \)

Step 2 ：\( T_{1}=9 \)

Step 3 ：\( T_{n}=T_{1}+(n-1)d=9+(n-1)8 \)

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