Acylinder shaped drum is used to store used motor oil. the drum has a height of 3 ft and a radius of 1.5 ft. how many cubic feet of oil does the drum hold? use 3.14 to approximate pi. enter your answer as a decimal rounded to the nearest hundredth in the box. ft³

, 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