Answer: Jonathan will rum [tex]1\dfrac14\text{ mile}[/tex] .
Step-by-step explanation:
Given: Total distance to run =[tex]6\dfrac14[/tex] miles [tex]=\dfrac{25}{4}[/tex] miles
Total members = 1+4 = 5
if each member runs equal distance.
Then, each member will run = [tex]\dfrac{\text{Total distance}}{\text{Total members}}[/tex]
[tex]=\dfrac{\dfrac{25}{4}}{5}\\\\ \lim_{n \to \infty} a_n =\dfrac{25}{4\times5}\\\\=\dfrac{5}{4}\\\\ = 1\dfrac14 \text{miles}[/tex]
Hence, Jonathan will rum [tex]1\dfrac14\text{ mile}[/tex] .
