Chapter 8.2, Problem 37HP

To determine

To Write: An arithmetic sequence whose common difference is -8.

Answer to Problem 37HP

The required sequence is 100,92,84,76…

Explanation of Solution

Given information:

Common Difference = -8.

Calculation:

Let us suppose that the first number of the sequence is 100.

We know that the common difference = 2^nd term − 1^st term, 3^rd term − 2^nd term and so on.

Common Difference = -8.

That is 2^nd term − 1^st term

  $\begin{array}{l}\Rightarrow -8=2^{nd}term-100\\ \Rightarrow -8+100=2^{nd}term-100+100\\ \Rightarrow 2^{nd}term=92\end{array}$

Thus the sequence is 100,92,84,76…