Q5. - Algebra 2

Question

Find the next four terms of each arithmetic sequence.

 3, 1, -1, …

Step-by-Step Solution

Answer

The next four terms of the arithmetic sequence are -3, -5, -7, -9.

Step 1. Given Information.

The given arithmetic sequence is 3, 1, -1, … 

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 $1-3=-2$ 

The difference between the next two terms is  $-1-1=-2$

So, the common difference is -2.

 

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

The next term in the arithmetic sequence is  $-3-2=-5$

The next term in the arithmetic sequence is  $-5-2=-7$

The next term in the arithmetic sequence is  $-7-2=-9$

Step 3. Conclusion .

Hence, the next four terms of the arithmetic sequence are -3, -5, -7, -9.