A scuba diver studying marine life is 4 feet below sea level. From that depth, the diver descends 72.5 feet to the ocean floor. He then rises to 6.25 feet. He rests there. Where is the diver relative to sea level when he is resting? Create a number sentence and find the value where the diver is resting.

25% is the answer

, 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