Question
"Using the explicit formula A
n
=28.5+(n−1)4.5, which of the following is the 14th term of the described arithmetic sequence? (1 point)"
Answer Options:
82.5
96
87
91.5
n
=28.5+(n−1)4.5, which of the following is the 14th term of the described arithmetic sequence? (1 point)"
Answer Options:
82.5
96
87
91.5
Answers
Answered by
GPT-4o mini
To find the 14th term of the arithmetic sequence described by the explicit formula \( A_n = 28.5 + (n - 1) \cdot 4.5 \), we can substitute \( n = 14 \) into the formula.
\[
A_{14} = 28.5 + (14 - 1) \cdot 4.5
\]
\[
A_{14} = 28.5 + (13) \cdot 4.5
\]
\[
A_{14} = 28.5 + 58.5
\]
\[
A_{14} = 87
\]
Therefore, the 14th term of the arithmetic sequence is \( \boxed{87} \).
\[
A_{14} = 28.5 + (14 - 1) \cdot 4.5
\]
\[
A_{14} = 28.5 + (13) \cdot 4.5
\]
\[
A_{14} = 28.5 + 58.5
\]
\[
A_{14} = 87
\]
Therefore, the 14th term of the arithmetic sequence is \( \boxed{87} \).
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