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

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.