document.write( "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)
\n" );
document.write( "Explict: f(n)=3*2^n
\n" );
document.write( "a. using the recursive formula above,write the first 5 terms of the sequence.
\n" );
document.write( "b.You want to know the value of f(30). Is it more efficent to use the recursive or explicit formula? Explain your answer. \n" );
document.write( "
Algebra.Com's Answer #497151 by stanbon(75887)![]() ![]() ![]() 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) \n" ); document.write( "Explict: f(n)=3*2^n \n" ); document.write( "a. using the recursive formula above,write the first 5 terms of the sequence. \n" ); document.write( "f(0) = 3 \n" ); document.write( "f(1) = 2*f(0) = 2*3 = 6 \n" ); document.write( "f(2) = 2*f(1) = 2*2*3 = 2^2*3 = 12 \n" ); document.write( "f(3) = 2^3*3 = 8*3 = 24 \n" ); document.write( "f(4) = 2^4*3 = 48 \n" ); document.write( "================================ \n" ); document.write( "b.You want to know the value of f(30). \n" ); document.write( "f(30) = 2^30*3 = 3221225472 \n" ); document.write( "------------------------------------- \n" ); document.write( "Is it more efficent to use the recursive or explicit formula? Explain your answer. \n" ); document.write( "I'll leave that to you. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |