document.write( "Question 221632: \"write and solve an equation to find the nth term of each aritmetic sequence\"
\n" );
document.write( "3,7,11,15, . . . n=8
\n" );
document.write( "10,5,0,-5, . . . n=21
\n" );
document.write( "34,49,64,79, . . . n=200
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #166186 by drj(1380)![]() ![]() You can put this solution on YOUR website! \"Write and solve an equation to find the nth term of each arithmetic sequence\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find the pattern or constant a to get the next term. So that\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where a is a constant, n0 is the first term and n is the nth term. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need (n-1) so when n=1 then n0 is the first term. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. 3,7,11,15, . . . n=8 3+(n-1)4=3+4n-4=4n-1. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER: 4n-1, at n=8 then 4*8-1=31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. 10,5,0,-5, . . . n=21 10-(n-1)5=10-5n-5=5-5n=5(1-n) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER: 5(1-n), at n=21 then 5(1-21)=100 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. 34,49,64,79, . . . n=200 34+(n-1)15=34+15n-15=15n+19 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER: 15n+19, at n=200 then 15*200+19=3000+19=3019.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV \n" ); document.write( "http://www.Facebook.com/FreedomUniversity.TV \n" ); document.write( "http://www.Twitter.com/FreedomUTV\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |