document.write( "Question 723418: Please help me solve: Write the rule for the arithmetic series $\"a5=12\"$ $\"d=5\"$ \n" ); document.write( "

Algebra.Com's Answer #443176 by MathLover1(20855) $\"\"$ $\"About$

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\n" ); document.write( " a rule for creating nth term formula: $\"a%5Bn%5D=d%28n-1%29%2Ba%5B1%5D\"$ \r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( " $\"d=5\"$
\n" ); document.write( "if we have $\"a%5B5%5D=12\"$ , means $\"n=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"12=5%285-1%29%2Ba%5B1%5D\"$ ....find first term\r
\n" ); document.write( "\n" ); document.write( " $\"12=25-5%2Ba%5B1%5D\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"12=20%2Ba%5B1%5D\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"12-20=a%5B1%5D\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-8=a%5B1%5D\"$ .....first term \r
\n" ); document.write( "\n" ); document.write( "so, the nth term formula is:\r
\n" ); document.write( "\n" ); document.write( " $\"a%5Bn%5D=5%28n-1%29-8\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the arithmetic series: $\"-8\"$ , $\"-3\"$ , $\"2\"$ , $\"7\"$ , $\"12\"$ .... \n" ); document.write( "

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