Question
What is the 13th term
a(n)=84+(n-1)(-6)
a(n)=84+(n-1)(-6)
Answers
GPT-4o mini
To find the 13th term of the sequence defined by the formula \( a(n) = 84 + (n - 1)(-6) \), we can substitute \( n = 13 \) into the formula.
\[
a(13) = 84 + (13 - 1)(-6)
\]
Now, calculate \( 13 - 1 \):
\[
13 - 1 = 12
\]
Next, multiply by \(-6\):
\[
12 \times -6 = -72
\]
Now, substitute this back into the equation:
\[
a(13) = 84 - 72
\]
Finally, calculate \( 84 - 72 \):
\[
a(13) = 12
\]
Thus, the 13th term is \( \boxed{12} \).
\[
a(13) = 84 + (13 - 1)(-6)
\]
Now, calculate \( 13 - 1 \):
\[
13 - 1 = 12
\]
Next, multiply by \(-6\):
\[
12 \times -6 = -72
\]
Now, substitute this back into the equation:
\[
a(13) = 84 - 72
\]
Finally, calculate \( 84 - 72 \):
\[
a(13) = 12
\]
Thus, the 13th term is \( \boxed{12} \).