Q4. - Algebra 2

Question

Find the next four terms of each arithmetic sequence.

 

12, 16, 20, …

Step-by-Step Solution

Answer

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

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.