document.write( "Question 979675: The following function defines a recursive sequence:\r
\n" );
document.write( "\n" );
document.write( "f(0) = -4\r
\n" );
document.write( "\n" );
document.write( "f(1) = 12\r
\n" );
document.write( "\n" );
document.write( "f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1\r
\n" );
document.write( "\n" );
document.write( "Which of the following sequences is defined by this recursive function?\r
\n" );
document.write( "\n" );
document.write( " -4, 12, -28, 60, …
\n" );
document.write( " -4, -12, -28, -60, …
\n" );
document.write( " -4, 12, -18, 54, …
\n" );
document.write( " -4, 12, -18, -54, … \n" );
document.write( "
Algebra.Com's Answer #600964 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Plug in n = 2 to get \n" ); document.write( "f(n) = -3*f(n -1) - 2*f(n - 2) \n" ); document.write( "f(2) = -3*f(2 -1) - 2*f(2 - 2) \n" ); document.write( "f(2) = -3*f(1) - 2*f(0) \n" ); document.write( "f(2) = -3*12 - 2*(-4) \n" ); document.write( "f(2) = -28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug in n = 3 to get \n" ); document.write( "f(n) = -3*f(n -1) - 2*f(n - 2) \n" ); document.write( "f(3) = -3*f(3 -1) - 2*f(3 - 2) \n" ); document.write( "f(3) = -3*f(2) - 2*f(1) \n" ); document.write( "f(3) = -3*(-28) - 2*(12) \n" ); document.write( "f(3) = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the sequence is -4, 12, -28, 60 \n" ); document.write( " \n" ); document.write( " |