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Question 825240: . Kelly's art teacher is modeling a project for art and algebra.The students are going to create a project with blocks in a patteren. Students will use algebra to describe the pattern. A student puts two formulas on the board. Recursive:f(0)=3, f(n)=2*f(n-1)
Explict: f(n)=3*2^n
a. using the recursive formula above,write the first 5 terms of the sequence.
b.You want to know the value of f(30). Is it more efficent to use the recursive or explicit formula? Explain your answer.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A student puts two formulas on the board. Recursive:f(0)=3, f(n)=2*f(n-1)
Explict: f(n)=3*2^n
a. using the recursive formula above,write the first 5 terms of the sequence.
f(0) = 3
f(1) = 2*f(0) = 2*3 = 6
f(2) = 2*f(1) = 2*2*3 = 2^2*3 = 12
f(3) = 2^3*3 = 8*3 = 24
f(4) = 2^4*3 = 48
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b.You want to know the value of f(30).
f(30) = 2^30*3 = 3221225472
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Is it more efficent to use the recursive or explicit formula? Explain your answer.
I'll leave that to you.
Cheers,
Stan H.
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