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 $(-5)-(-8)=-5+8=3$

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

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.