Answer:
The 93rd term of this arithmetic sequence is 1,742.
Step-by-step explanation:
The formula for finding any term in an arithmetic sequence is [tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)*d. In your case, when you plug the numbers into the formula, you'll get:
[tex]t_{93}[/tex] = -6 + (93 - 1)*19 --> "n" is the number of the term that you're solving for,
[tex]t_{93}[/tex] = -6 + 92*19 [tex]t_{1}[/tex] is the first term, which is -6, and "d" is the
[tex]t_{93}[/tex] = -6 + 1748 common difference, or how the number changes
[tex]t_{93}[/tex] = 1742 when you go from one term to another, which is 19
in this problem.
Hope this helps,
Hedgehog68
