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Alexxx [7]
3 years ago
6

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
storchak [24]3 years ago
8 0

Answer:

a_n = 1200(1.35)^n

Step-by-step explanation:

Equation to remember:

P_0(1+r)^t where t = time

P_0 = 1200 since that's the initial population

r  = .35 rate of change \\

t  = 5 years

Plug in the numbers;


a_5 = 1200(1+.35)^5


Since the prompt looks like it's asking for an equation given any number of years.. then just change 5 to n for number of years.


a_n = 1200(1.35)^n

sweet [91]3 years ago
4 0

Answer:  \bold{(A)\ a_n=1200(1.35)^{n-1}}

<u>Step-by-step explanation:</u>

The explicit rule for a geometric sequence is: a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}

The sequence starts at 1200, so a_1 = 1200.

The rate increases 35% so r = 1.35

a_n=a_1(r)^{n-1}\\.\quad=1200(1.35)^{n-1}\\\\a_5=1200(1.35)^{5-1}\\.\quad=1200(1.35)^4

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