Question

Use the arithmetic sequence formula an=5+(n−1)⋅2
to complete the missing values in the table.

Answer 1

The given arithmetic sequence formula is:

\[
a_n = 5 + (n - 1) \cdot 2
\]

To complete the missing values in the table, we can calculate the first few terms of the sequence using this formula, substituting different values of \(n\):

1. **For \(n = 1\)**:
\[
a_1 = 5 + (1 - 1) \cdot 2 = 5 + 0 = 5
\]

2. **For \(n = 2\)**:
\[
a_2 = 5 + (2 - 1) \cdot 2 = 5 + 2 = 7
\]

3. **For \(n = 3\)**:
\[
a_3 = 5 + (3 - 1) \cdot 2 = 5 + 4 = 9
\]

4. **For \(n = 4\)**:
\[
a_4 = 5 + (4 - 1) \cdot 2 = 5 + 6 = 11
\]

5. **For \(n = 5\)**:
\[
a_5 = 5 + (5 - 1) \cdot 2 = 5 + 8 = 13
\]

So, the first five terms of the arithmetic sequence \(a_n\) are:

\[
\begin{align*}
n = 1, & \quad a_1 = 5 \\
n = 2, & \quad a_2 = 7 \\
n = 3, & \quad a_3 = 9 \\
n = 4, & \quad a_4 = 11 \\
n = 5, & \quad a_5 = 13 \\
\end{align*}
\]

If you provide the specific table structure, I can help you complete it with the corresponding values.