A woman at point A on the shore of a circular lake with radius r=3 wants to arrive at point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at the rate of 4mph and row a boat at 2mph. 1. What is the shortest amount of time it would take her to reach point C? in hours 2. What is the longest amount of time it would take her to reach point C following a path like a path in the figure? in hours

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step-by-step explanation:

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i believe the answer is d.

hope it you! : d

, 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