Question

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

Answer 1

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.

$a_n = 1200(1.35)^n$

Answer 2

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

Step-by-step explanation:

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

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