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

Question

3 years ago

11

9/16 mile. If she continue this pattern, when was the first time she ran more than one mile explain

2 answers:

zhenek [66] · Answer 1 · 2022-03-13T01:37:23+03:00

Answer: So the pattern is 3/16, 3/8, 9/16

here you can write 3/8 = 6/16 multiplying numerator and denominator by 2.

Then the sequence is 3/16, 6/16, 9/16....

you can see that is an arithmetic sequence, where in every step you are adding 3/16 to the previous number.

So the next time (the fourth) she will ran (9 +3)/16 = 12/16 mile

the fifth time: (12 + 3)/16 = 15/16 mile

the sixth time : (15 + 3)/16 = 18/16 = 16/16 + 2/16 = (1 + 1/8) miles

So the sixth time she will ran more than one mile.

kipiarov [429] · Answer 2 · 2022-03-13T00:05:17+03:00

3 0

The 6th time she runs!