Chapter 4.6, Problem 52E

To determine

To describe: The arithmetic sequence that models the number of people in a real life situation.

Answer to Problem 52E

There are $125$ passengers in the first carriage, $150$ passengers in the second carriage and $175$ passengers in the third carriage, and so on in an arithmetic sequence.

Explanation of Solution

Given information: Give an example of arithmetic sequence that models the number of people in a real life situation.

Calculation: There are $125$ passengers in the first carriage, $150$ passengers in the second carriage and $175$ passengers in the third carriage, and so on.

Sequence is $125,150,175,\mathrm{.....}$ .

Common difference

  $\begin{array}{l}=a_2-a_1=150-125=25\\ =a_3-a_2=175-150=25\end{array}$

Common difference is same.

Therefore this is arithmetic sequence.