Q15. - Algebra 2

Question

Find the next four terms of each arithmetic sequence.

 

9, 16, 23, …

Step-by-Step Solution

Answer

The next four terms of the arithmetic sequence are 30, 37, 44, 51

Step 1. Given Information.

The given arithmetic sequence is 9, 16, 23, … 

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 $16-9=7$

The difference between the next two terms is 23-16=7

So, the common difference is 7.

 

The next term in the arithmetic sequence is 23+7=30

The next term in the arithmetic sequence is 30+7=37

The next term in the arithmetic sequence is 37+7=44

The next term in the arithmetic sequence is 44+7=51

Step 3. Conclusion .

Hence, the next four terms of the arithmetic sequence are 30, 37, 44, 51.