document.write( "Question 1178668: Find the first three terms of the recursively defined sequence.\r
\n" );
document.write( "\n" );
document.write( "a1 = 5, a(n) = na(n−1) \n" );
document.write( "
Algebra.Com's Answer #808041 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The statement \n" ); document.write( "a(n) = na(n-1) \n" ); document.write( "means that, for each integer n greater than 1, the n-th term is n times the previous term. \n" ); document.write( "Given a(1)=5, use that definition to find a(2); then use the definition again to find a(3). \n" ); document.write( "Here is an example if you don't understand that.... \n" ); document.write( "a(1) = 4; a(n) = n*a(n-1)+1 \n" ); document.write( "The second statement says to get the n-th term of the sequence you multiply the current term by n and add 1. \n" ); document.write( "given first term: 4 \n" ); document.write( "second term: multiply 1st term (4) by n (2) and add 1: 4(2)+1 = 9 \n" ); document.write( "third term: multiply second term (9) by n (3) and add 1: 9(3)+1 = 28 \n" ); document.write( "fourth term: 28(4)+1 = 113 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |