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Anvisha [2.4K]
3 years ago
11

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
Mathematics
2 answers:
zhenek [66]3 years ago
4 0

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]3 years ago
3 0
The 6th time she runs!
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