document.write( "Question 1018248: A sequence of numbers begins with the numbers -10,20,30,..., and each term afterward is the product of the preceding three terms.How many of the first 101 terms of this sequence are positive? \n" ); document.write( "
Algebra.Com's Answer #634428 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! We only care whether the terms are negative or positive, and not what they are.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The 4th term is negative since the product of 1 negative number and two positive numbers is negative. Doing this, we have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "N, P, P, N, N, P, P, N...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So it repeats NPPN. The first 100 terms will have 50 positive terms, and the 101th term is negative, so there are 50 positive terms total. \n" ); document.write( " |