Question

Write the first five terms of the arithmetic
sequence with the given first term and common
difference.

$$\begin{gathered} a_1=-13 \\ d=3 \end{gathered}$$

Short answer

The first five terms of the arithmetic sequence with $$\begin{gathered} a_1=-13, \\ d=3 \end{gathered}$$ is $-13,-10,-7,-4,-1$

Step-by-step solution

Step 1. Given

The first term, $a_1=-13$

The common difference, $d=3$

To find the first five terms of the arithmetic sequence.

Step 2. Start with first term and add common difference.

We start with the first term and add the common difference. Then we add the common difference to that result to get the
next term, and so on.

$-13+3=-10$

$a_2=-10$

Step 3. Find the other terms

Similarly find the other terms.

$$\begin{gathered} -10+3=-7 \\ {a}_3=-7 \\ -7+3=-4 \\ {a}_4=-4 \\ -4+3=-1 \\ {a}_5=-1 \end{gathered}$$

The five terms of the sequence are $-13,-10,-7,-4,-1$