Jamie biked 5 and one fourth miles on Monday six and seven eighth miles on Tuesday and eight and one half miles on Wednesday if the pattern continues how many miles will he bike on friday

11 3/4 miles.

Step-by-step explanation:

Converting to improper fractions, the consecutive distances are:

21/4, 55/8, 17/2

= 42/8, 55/8, 68/8 for Monday, Tuesday and Wednesday.

So the distances have increased by 13/8 miles each day.

Thus number of miles he'll bike on Friday = 68/8 + 2 (13/8)

= 94/8

= 11 3/4 miles.