A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet
below the surface after 45 seconds. What is the scuba
divers average rate of change?

a

step-by-step explanation:

the answer is a

, 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