Chapter 4.7, Problem 38P

Open-Ended Write an explicit formula for the arithmetic sequence whose common difference is -2.5.

To determine

To find:The formula when common difference is -2.5

Answer to Problem 38P

The given sequence is $0,-2.5,5,7.5,\mathrm{..}$

Explanation of Solution

Given:

The common difference is -2.5

Calculation:

Assume that the first number is 0.

Now,

  $\begin{array}{l}0-2.5=-2.5\\ -2.5-2.5=-5\\ -5-2.5=-7.5\end{array}$

So, the sequence is,

  $0,-2.5,5,7.5,\mathrm{..}$

Thus, the given sequence is $0,-2.5,5,7.5,\mathrm{..}$