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
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Algebra.Com's Answer #166186 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
\"Write and solve an equation to find the nth term of each arithmetic sequence\"\r
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\n" ); document.write( "\n" ); document.write( "Find the pattern or constant a to get the next term. So that\r
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\n" ); document.write( "\n" ); document.write( "\"n0%2B%28n-1%29a\"\r
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\n" ); document.write( "\n" ); document.write( "where a is a constant, n0 is the first term and n is the nth term. \r
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\n" ); document.write( "\n" ); document.write( "We need (n-1) so when n=1 then n0 is the first term. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. 3,7,11,15, . . . n=8 3+(n-1)4=3+4n-4=4n-1. \r
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\n" ); document.write( "\n" ); document.write( "ANSWER: 4n-1, at n=8 then 4*8-1=31\r
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\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
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\n" ); document.write( "\n" ); document.write( "ANSWER: 5(1-n), at n=21 then 5(1-21)=100 \r
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\n" ); document.write( "\n" ); document.write( "Step 3. 34,49,64,79, . . . n=200 34+(n-1)15=34+15n-15=15n+19 \r
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\n" ); document.write( "\n" ); document.write( "ANSWER: 15n+19, at n=200 then 15*200+19=3000+19=3019.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\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
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r
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