Rohan and Bella leave their homes at the same time and bike in opposite directions. Rohan's speed is 11 mph. and Bella's speed is 10 mph. if the distance between their homes is 3 miles, how long will it before Rohan and Bella re 10 mile apart

, 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

or