Chapter 4.7, Problem 18PPE

To determine

The common difference and find whether the given sequence “-7, -3, 1, 5, ….. “ is in AP or not.

Answer to Problem 18PPE

Yes, the pattern is arithmetic and the common difference $d=4$

Explanation of Solution

Given:

The given sequence is,

-7, -3, 1, 5, …..

Here,

  $\begin{array}{l}-3-\left(-7\right)=4\\ 1-\left(-3\right)=4\\ 5-1=4\end{array}$

Since the difference in previous and next term is same for all or 4 is added to each term.

It means the given sequence is an arithmetic sequence.

So, the common difference will be the difference of two consecutive term.

  $\begin{array}{l}d=-3-\left(-7\right)\\ \Rightarrow d=4\end{array}$