Chapter 3.6, Problem 29PPS

To determine

To find the odometer reading on 25^thday.

Answer to Problem 29PPS

  $25,646$ miles.

Explanation of Solution

Given:

The odometer of Jamal’s car reads from $24,521$ .

Jamal drives $45$ miles per day.

Formula used:

nth term of any arithmetic progression is given by the formula:

  $t_n=a+(n-1)d$

  $t_n=$ nth term

  $a=$ The first term of the arithmetic progression

  $d=$ The common difference of the arithmetic progression

Calculation:

Applying above formula,

  $\Rightarrow a_n=a+(n-1)d$

  $\Rightarrow a_n=24521+(n-1)(45)$  $[\because a=24,521\&d=45]$

  $\Rightarrow a_{25}=24521+(25-1)(45)$  $[\because n=25]$

  $\begin{array}{l}\Rightarrow a_{25}=24521+24\times 45\\ \Rightarrow a_{25}=24521+1125\\ \Rightarrow a_{25}=25646\end{array}$

Conclusion:

Therefore, on 25^th day Jamal’s odometer will show $25,646$ miles reading.