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Sagot :
22270d
1) Since the sales have been modeled by this recursive formula, we need to make reference to the prior item in the sequence to find the next one:
a) P_1 and P_2
[tex]\begin{gathered} P_n=P_{n-1}+12000 \\ P_1=27000+12000 \\ P_1=39000 \\ --- \\ P_2=39000+12000 \\ P_2=51000 \end{gathered}[/tex]Note that whenever we have a recursive formula we'll need the prior item to get the subsequent one.
b) Explicit formula for P_N
When we have an explicit formula, we don't need the prior term. So let's find an explicit one:
[tex]P_N=27000+12000N[/tex]Note that the difference between P_2 and P_1 is 12,000.
c) Now, let's pick this explicit formula and find P_10:
[tex]\begin{gathered} P_{10}=27000+12000\cdot10 \\ P_{10}=147,000 \end{gathered}[/tex]d) Let's use the explicit formula to find when, in years the store is going to exceed 97000
97000=27000+12
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