Problem

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, \( T_{n} \).
\( T_{n}=9+(n-1) 8 \)
\( T_{n}=1+8 n \)
Find the 13 th term of the sequence.
\[
T_{13}=\text { Enter your next step here }
\]

Answer

Expert–verified

Hide Steps

Answer

\( T_{13} = 105 \)

Steps

Step 1 ：\( T_{n}=1+8 n \)

Step 2 ：\( T_{13} = 1 + 8(13) \)

Step 3 ：\( T_{13} = 1 + 104 \)

Step 4 ：\( T_{13} = 105 \)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More