Arithmetic Sequences Practice

Question

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 \( x = 4 \).