Question

Find the next four terms of each arithmetic sequence.

-8, -5, -2, …

Short answer

The next four terms of the arithmetic sequence are1, 4, 7, 10.

Step-by-step solution

Step 1. Given Information.

The given arithmetic sequence is -8, -5, -2, …

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is $\left(-5\right)-\left(-8\right)=-5+8=3$

The difference between the next two terms is $\left(-2\right)-\left(-5\right)=-2+5=3$

So, the common difference is 3.

The next term in the arithmetic sequence is -2+3=1

The next term in the arithmetic sequence is 1+3=4

The next term in the arithmetic sequence is 4+3=7

The next term in the arithmetic sequence is 7+3=10

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 1, 4, 7, 10.