the first term of an arithmetic sequence is 5, and the common difference of the sequence is 2. what is the…

Answer:

A. 19

Explanation:

Step1: Recall the formula for the nth term of an arithmetic sequence

The formula for the (n)th term of an arithmetic sequence is (a_{n}=a_{1}+(n - 1)d), where (a_{1}) is the first term, (n) is the term number, and (d) is the common difference.

Step2: Identify the values of (a_{1}), (n), and (d)

Given that (a_{1}=5), (n = 8), and (d=2).

Step3: Substitute the values into the formula

[ \begin{align*} a_{8}&=5+(8 - 1)\times2\ &=5+7\times2\ &=5 + 14\ &=19 \end{align*} ]