Q:

Vicki started jogging. The first time she ran she ran 3/16 mile. The second time, she ran 3/8 Mile, and the third time, she ran 9/16 mile. If she continue this pattern, when was the first time she ran more than one mile explain

Accepted Solution

A:
Answer: In seventh time she ran more than one mile from first time she ran. Step-by-step explanation:Given Vicki started jogging. The first time she ran she ran 3/16 mile. The second time, she ran 3/8 Mile, and the third time, she ran 9/16 mile. We have to find when was the first time she ran more than one mile.The sequence followed is [tex]\frac{3}{16}, \frac{6}{16}, \frac{9}{16}, \frac{12}{16}, \frac{15}{16}, \frac{18}{16}, \frac{21}{16}....[/tex]First time she ran more than 1 mile is [tex]\frac{3}{16}+1=\frac{19}{16}[/tex]In the seventh time she ran [tex]\frac{21}{16}[/tex] miles which is more than one mile from the first time. Hence, in seventh time she ran more than one mile from first time she ran.