document.write( "Question 1006190: For an arithmetic sequence, find t(n) if:
\n" ); document.write( "a. t(3)= 6.5 and s(8)=67\r
\n" ); document.write( "\n" ); document.write( "b. t(4)=\"+6%2Fsqrt%285%29+\" and s(5)= \"+6sqrt%285%29+\"\r
\n" ); document.write( "\n" ); document.write( "Sorry, I really don't know where to start!!
\n" ); document.write( "Please write explanations if you can!
\n" ); document.write( "

Algebra.Com's Answer #622365 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "For an arithmetic sequence, find t(n) if:
\n" ); document.write( "a. t(3)= 6.5 and s(8)=67\r
\n" ); document.write( "\n" ); document.write( "b. t(4)=\"+6%2Fsqrt%285%29+\" and s(5)= \"+6sqrt%285%29+\"\r
\n" ); document.write( "\n" ); document.write( "Sorry, I really don't know where to start!!
\n" ); document.write( "Please write explanations if you can!
\n" ); document.write( "
\"t%5Bn%5D+=+t%5B1%5D+%2B+%28n+-+1%29d\"
\n" ); document.write( "\"t%5B3%5D+=+t%5B1%5D+%2B+%283+-+1%29d\"
\n" ); document.write( "\"6.5+=+t%5B1%5D+%2B+2d\"_______\"t%5B1%5D+=+6.5+-+2d\" ------ eq (i)\r
\n" ); document.write( "\n" ); document.write( "\"S%5Bn%5D+=+%28n%2F2%29%282t%5B1%5D+%2B+%28n+-+1%29d%29\"
\n" ); document.write( "\"S%5B8%5D+=+%288%2F2%29%282t%5B1%5D+%2B+%288+-+1%29d%29\"
\n" ); document.write( "\"67+=+4%282t%5B1%5D+%2B+7d%29\"
\n" ); document.write( "\"67+=+8t%5B1%5D+%2B+28d\" ------------ eq (ii)
\n" ); document.write( "\"67+=+8%286.5+-+2d%29+%2B+28d\" ----- Substituting 6.5 - 2d for \"t%5B1%5D\" in eq (ii)
\n" ); document.write( "\"67+=+52+-+16d+%2B+28d\"
\n" ); document.write( "67 - 52 = 12d
\n" ); document.write( "15 = 12d
\n" ); document.write( "\"15%2F12+=+d\", or \"d+=+5%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"t%5B1%5D+=+6.5+-+2+%2A+%285%2F4%29\" --------- Substituting \"5%2F4\" for d in eq (i)
\n" ); document.write( "\"t%5B1%5D+=+6.5+-+5%2F2\"
\n" ); document.write( "\"t%5B1%5D+=+6.5+-+2.5\"
\n" ); document.write( "\"t%5B1%5D+=+4\"\r
\n" ); document.write( "\n" ); document.write( "\"t%5Bn%5D+-+t%5B1%5D+%2B+%28n+-+1%29d\"
\n" ); document.write( "\"t%5Bn%5D+=+4+%2B+%28n+-+1%29%285%2F4%29\" ------ Substituting \"5%2F4\" for d, and 4 for \"t%5B1%5D\" in equation of an AP
\n" ); document.write( "\"t%5Bn%5D+=+4+%2B+%285%2F4%29n+-+5%2F4%29\"
\n" ); document.write( "\"t%5Bn%5D+=+4+%2B+5n%2F4+-+5%2F4\"
\n" ); document.write( "\"t%5Bn%5D+=+5n%2F4+%2B+2%263%2F4\"
\n" ); document.write( "\"highlight_green%28t%5Bn%5D+=+%285%2F4%29n+%2B+2%263%2F4%29\"\r
\n" ); document.write( "\n" ); document.write( "Apply the same concept to b. \n" ); document.write( "
\n" );