SOLUTION: . 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 patt

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
================================
b.You want to know the value of f(30).
f(30) = 2^30*3 = 3221225472
-------------------------------------
Is it more efficent to use the recursive or explicit formula? Explain your answer.
I'll leave that to you.
Cheers,
Stan H.
==================
RELATED QUESTIONS
. Kelly's art teacher is modeling a project for art and algebra.The students are going to (answered by stanbon)

Jason. Eric and Jamie are friends in art class. The teacher randomly chooses to have the... (answered by Fombitz,gregsbrat)

Working together Paul and Art can build a bridge for a landscaping project in 4 hours.... (answered by solver91311)

Hoshi is working on an art project in the shape of a triangular prism. The sides of the... (answered by addingup)

chase measured a line for his art project. it is 200 millimeters long. how many... (answered by jorel1380)

There are 22 students in Mario's class. Mario's teacher is planning to pair the students... (answered by Theo)

The expenses for an art project of a group of students amounted to P360.THREE OF THE... (answered by scott8148)

Haley's art teacher has assigned her students a project in which they need to demonstrate (answered by rapaljer)

Please assist me with this problem. I came up with an answer for the first one but I am... (answered by rfer)