Question

Find the next four terms of each arithmetic sequence.

12, 16, 20, …

Short answer

The next four terms of the arithmetic sequence are24, 28, 32, 36.

Step-by-step solution

Step 1. Given Information.

The given arithmetic sequence is 12, 16, 20, …

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 $16-12=4$

The difference between the next two terms is $20-16=4$

So, the common difference is 4.

The next term in the arithmetic sequence is $20+4=24$

The next term in the arithmetic sequence is $24+4=28$

The next term in the arithmetic sequence is $28+4=32$

The next term in the arithmetic sequence is $32+4=36$

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 24, 28, 32, 36.