Use the arithmetic sequence formula an=5+(n−1)⋅2 to complete the missing values in the table.
To complete the missing values in the table, we can use the arithmetic sequence formula a_n = 5 + (n - 1) * 2.
Let's calculate the values for n = 2, 4, and 6:
For n = 2:
a_2 = 5 + (2 - 1) * 2
= 5 + 1 * 2
= 5 + 2
= 7
For n = 4:
a_4 = 5 + (4 - 1) * 2
= 5 + 3 * 2
= 5 + 6
= 11
For n = 6:
a_6 = 5 + (6 - 1) * 2
= 5 + 5 * 2
= 5 + 10
= 15
Using the arithmetic sequence formula, the completed table looks like this:
n | 1 | 2 | 3 | 4 | 5 | 6 |
a_n | 5 | 7 | 9 | 11| 13 | 15|