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allochka39001 [22]
3 years ago
10

A)clara believes the sequence 3,9,27,81,243 is arithmetic. Do you agree with clara?Explain your reasoning.

Mathematics
1 answer:
allsm [11]3 years ago
3 0
This is NOT an arithmetic sequence because there is no common difference.  It is a geometric sequence because there is a common ratio.  Meaning that each term is a constant ratio or multiple of the previous term.  The recursive rule for this geometric sequence is:

a(n)=3*a(n-1), a(1)=3



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Answer:

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Step-by-step explanation:

The formula is:    A=P(1+r)^t, where P = Initial cost, A = Final cost,  r = Rate of change in cost per year and  t = Number of years.

Here, P= 23995, t= 5

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As here the <u>value of the car depreciates every year, so we need to plug the value of r as negative</u>. So, r=-0.08

Now plugging the above values into the formula, we will get.....

A=23995(1-0.08)^5\\ \\ A=23995(0.92)^5\\ \\ A=15814.6611... \approx 15815

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So, the car will worth $15815 after 5 years.

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