Question

Find the first five terms of each arithmetic sequence described.

$a_1=14,d=-2$

Short answer

The first five terms of the arithmetic sequence described are14, 12, 10, 8, 6.

Step-by-step solution

Step 1. Given Information.

Given arithmetic sequence is described by $a_1=14,d=-2$

Step 2. Calculation.

In an arithmetic sequence a term can be obtained by adding the common difference to the previous term.

Here the first term is $a_1=14$

And, the common difference is$d=-2$ .

The second term in the arithmetic sequence is:

$\begin{array}{c}{a}_2=a_1+d\\ a_2=14-2\\ a_2=12\end{array}$

The third term in the arithmetic sequence is:

$\begin{array}{c}{a}_3=a_2+d\\ a_3=12-2\\ a_3=10\end{array}$

The fourth term in the arithmetic sequence is:

$\begin{array}{l}{a}_4=a_3+d\\ a_4=10-2\\ a_4=8\end{array}$

The fifth term in the arithmetic sequence is:

$\begin{array}{l}{a}_5=a_4+d\\ a_5=8-2\\ a_5=6\end{array}$

Step 3. Conclusion.

Hence, the first five terms of the arithmetic sequence described are 14, 12, 10, 8, 6.