9514 1404 393
Answer:
-108
Step-by-step explanation:
About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.
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<em>Alternate solution</em>
You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...
Then the 4th term will be ...
The values of BMW after 2 years and 4 years according to the EXPONENTIAL FUNCTION are $33,462 and $20,358.28
Using the parameters given, we define an decreasing exponential function :
Where,
= initial amount ; r = Rate ; t = time ; A = final amount
Value after 2 years :
t = 2
A = 55000(1 - 0.22)²
A = 55000(0.78)²
A = $33,462
Value after 4 years :
t = 4
A = 55000(1 - 0.22)^4
A = 55000(0.78)^4
A = $20,358.28
Therefore, the value of BMW after 2 years and 4 years $33,462 and $20,358.28 respectively.
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