You bike
5
miles the first day of your training,
5.4 miles the second day,
6.2 miles the third day, and
7.8 miles the fourth day. If you continue this pattern, how many miles do you bike the seventh day?

You will bike 30.2 miles in the seventh day according to the prediction.

Explanation:

Here we have the following data, You bike

5  miles the first day of your training, 5.4 miles the second day, 6.2 miles the third day, and 7.8 miles the fourth day.

So we can know some facts:

From the first day to the second day the number of miles increases:

From the second day to the third day the number of miles increases:

From the third day to the fourth day the number of miles increases:

By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:

From the fourth day to the fifth day the number of miles increases:

From the fifth day to the sixth day the number of miles increases:

Finally:

From the sixth day to the seventh day the number of miles increases: