document.write( "Question 927791: Find the 1st term of the arithmetic sequence with 11th term −1 and 21th term 7. \n" ); document.write( "
Algebra.Com's Answer #563285 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Find the 1st term of the arithmetic sequence with 11th term −1 and 21th term 7.
\n" ); document.write( "
\"t%5Bn%5D+=+t%5B1%5D+%2B+%28n+-+1%29d\"
\n" ); document.write( "\"t%5B11%5D+=+t%5B1%5D+%2B+%2811+-+1%29d\"
\n" ); document.write( "\"-+1+=+t%5B1%5D+%2B+10d\"
\n" ); document.write( "\"10d+=+-+t%5B1%5D+-+1\"______\"d+=+%28-+t%5B1%5D+-+1%29%2F10\" ---------- eq (i)\r
\n" ); document.write( "\n" ); document.write( "\"t%5Bn%5D+=+t%5B1%5D+%2B+%28n+-+1%29d\"
\n" ); document.write( "\"t%5B21%5D+=+t%5B1%5D+%2B+%2821+-+1%29d\"
\n" ); document.write( "\"7+=+t%5B1%5D+%2B+20d\"
\n" ); document.write( "\"t%5B1%5D+%2B+20d+=+7\" ------- eq (ii)
\n" ); document.write( "\"t%5B1%5D+%2B+20%28%28-+t%5B1%5D+-+1%29%2F10%29+=+7\" ------- Substituting \"%28-+t%5B1%5D+-+1%29%2F10\" for d in eq (ii)
\n" ); document.write( "\"t%5B1%5D+%2B+2%28-+t%5B1%5D+-+1%29+=+7+\"
\n" ); document.write( "\"t%5B1%5D+-+2t%5B1%5D+-+2+=+7\"
\n" ); document.write( "\"-+t%5B1%5D+=+7+%2B+2\"
\n" ); document.write( "\"-+t%5B1%5D+=+9\"
\n" ); document.write( "Term 1 or \"t%5B1%5D+=+9%2F%28-+1%29\", or \"highlight_green%28t%5B1%5D+=+-+9%29\"
\n" ); document.write( "You can do the check!!
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