SOLUTION: Hello! I am confused on how to solve this problem in which I have to solve using geometric/arithmetic sequences.
For each of the first 12 years of its fruitful life a certain a
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-> SOLUTION: Hello! I am confused on how to solve this problem in which I have to solve using geometric/arithmetic sequences.
For each of the first 12 years of its fruitful life a certain a
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Question 737276: Hello! I am confused on how to solve this problem in which I have to solve using geometric/arithmetic sequences.
For each of the first 12 years of its fruitful life a certain apple tree is expected to produce 8 more apples than it had the preceding year. If the tree produces 17 apples the first year, how many apples can the tree be expected to produce during the 12th year?
Thanks! :) Answer by reviewermath(1029) (Show Source):
You can put this solution on YOUR website! We can solve the problem using a linear function.
The slope of the linear function is 8 because apple tree is expected to produce 8 more apples than it had the previous year.
The linear function is f(x) = 8x + b.
Now, we solve for b.
We know that f(1) = 17.
So 8(1) + b = 17
b = 9
Therefore, the linear function is f(x) = 8x + 9 and
f(12) = 8(12) + 9 = 105.
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