Question

Arithmetic Sequences Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
3 of 53 of 5 Items
















Question
Use the arithmetic sequence formula an=5+(n−1)⋅2
to complete the missing values in the table.(1 point)
x y
2
4

Answer 1

To fill in the missing values in the table using the arithmetic sequence formula \( a_n = 5 + (n - 1) \cdot 2 \), we can evaluate the formula for \( n = 2 \) and \( n = 4 \).

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

2. **For \( n = 4 \):**
\[
a_4 = 5 + (4 - 1) \cdot 2
\]
\[
a_4 = 5 + 3 \cdot 2
\]
\[
a_4 = 5 + 6 = 11
\]

Now, we can fill in the table:

| x | y |
|---|----|
| 2 | 7 |
| 4 | 11 |

So, the missing values are \( y = 7 \) when \( x = 2 \), and \( y = 11 \) when \( x = 4 \).