A scuba diver dove from the surface of the ocean to an elevation of −49 9/10 feet at a rate of −11.1 feet per minute. After spending 14.75 minutes at that elevation, the diver ascended to an elevation of −18 9/10 feet. The total time for the dive so far was 21 1/8minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.

a

step-by-step explanation:

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, 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