Chapter 3.6, Problem 8PPS

To determine

To determine whether the sequence is an arithmetic sequence or not.

Answer to Problem 8PPS

Yes

Explanation of Solution

Given:

Sequence:

  $-3,1,5,\mathrm{9...}$

Concept used:

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Calculation:

Now, find the difference between consecutive terms of given series.

  $\begin{array}{l}1-(-3)=1+3=4\\ 5-1=4\\ 9-5=4\end{array}$

So, the difference between every two-consecutive number in the sequence is $4$ .

Conclusion:

Therefore, the given sequence: $-3,1,5,\mathrm{9...}$ is an arithmetic sequence.