Question 182321
lets convert everything to 4ths
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14/4,19/4,24/4,30/4
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the difference between the first two terms is 5/4 and the difference between the 2nd and 3rd terms is 5/4.  The difference between the 3rd and 4th terms is 6/4....so I suspect the difference between the 4th and 5th will be 6/4 and the difference between the 5th and 6th as well as the 6th and the 7th will be 7/4
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so the 5th-7th terms are :36/4,43/4,and 50/4
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so the 7th day he will have walked: 12 and 1/2 miles