For this case, the first thing we must do is define variables.
We have then:
x: number of cabins
y: number of campers
We now write the equation that models the problem:
We know that there are 148 campers.
Therefore, substituting y = 148 in the given equation we have:
From here, we clear the value of x:
Therefore, the number of full cabins is:
Answer:
The number of full cabins is:
The first term of the sequence, a = 15,000
Each subsequent winner gets $150 less
Hence, the common difference, d = - $150
The first four terms :
First term, a1 = $15000
Second term, a2 = a - d = $15000 - $150 = $14850
Third term, a3 = a2 - d = $14850 - $150 = $14700
Fourth term, a4 = a3 - d = $14700 - $150 = $14550
a, for the sequence is the first term = $15000
d, for the sequence is the common $150 (difference between successive wins).
Explicit formula for the general term :
For n = 1
Hence, the explicit formula for the nth term is :
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