Apheasant farmer started her farm with 120 pheasants. An analysis of her records shows that her pheasant population has increased by 15% each year. The farmer wants to determine a model of pheasant population growth using an exponential function. According to her model, what will the pheasant population be in 10 years? Show WORK Step By Step!

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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

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step-by-step explanation:

150

step-by-step explanation:

(sorry i'm not typing it again just read the other two explanation sections i just typed it'll be the same.)