Andrew drove from his house to his sister's house in 8 hours at an average of 60 miles per hour. on the way home he drove at an average rate of 64 miles per hour. how long did it take him to drive home?

It took him 7.5 hrs to drive home.

Step-by-step explanation:

The distance is the same, going or returning.

Recall that distance = rate times time.

Here, distance from Andrew's to his sister's is (60 mph)(8 hr) = 480 mi

If distance = rate times time, then time = distance / rate.

Here we have time = 480 mi / 64 mph = 7.5 hrs

It took him 7.5 hrs to drive home.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for