document.write( "Question 1158456: given the first term and the common difference of an arithmetic sequence, find explicit rule and the 37th term\r
\n" ); document.write( "\n" ); document.write( "http://prntscr.com/scty4s
\n" ); document.write( "

Algebra.Com's Answer #781420 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "9.\r
\n" ); document.write( "\n" ); document.write( " an Arithmetic Sequence as a rule:\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+a%5B1%5D+%2B+d%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "if \"a%5B1%5D=24+\" and \"d=5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " the explicit formula is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+24+%2B+5%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "the \"37\"th term is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5B37%5D+=+24+%2B+5%2837-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B37%5D+=+24+%2B+5%2836%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B37%5D+=+24+%2B+180\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B52%5D+=+204\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10.\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+a%5B1%5D+%2B+d%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B1%5D=0\" and\"d=-3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " the explicit formula is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+0+-3%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+-3%28n-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the \"37\"th term is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5B37%5D+=+-3%2837-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B37%5D+=+-3%2836%29\"
\n" ); document.write( "\"a%5B37%5D+=+-108\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );