Sheryl is getting ready for spring break and she can't help but notice the shape of the inner-tube that she is packing. Sheryl is trying to figure out the best way to pack it. She measures the radius of the circular cut out and it measures to be 7 inches. Then she measures from the center to the outer part of the tube, which measures at 15 inches. What is the area of the green inner-tube? Round to the nearest hundredth, if necessary.

, 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

52 \43 i don't know this i tried

your answer is option c.

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