document.write( "Question 1142569: the 7th term of an arithmetic sequence is 1/2 and the 14th term is
\n" ); document.write( "6 what is the 10th term?
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Algebra.Com's Answer #763245 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+x%5Bn%5D+=+a+%2B+d%2A%28+n-1+%29+\"
\n" ); document.write( "\"+d+\" = the difference between successive terms
\n" ); document.write( "\"+n+\" = the number of the term
\n" ); document.write( "\"+a+\" = the first term
\n" ); document.write( "------------------------------
\n" ); document.write( "\"+1%2F2+=+a+%2B+d%2A%28+7+-+1+%29+\"
\n" ); document.write( "(1) \"+1%2F2+=+a+%2B+6d+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "\"+6+=+a+%2B+d%2A%28+14+-+1+%29+\"
\n" ); document.write( "(2) \"+6+=+a+%2B+13d+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+6+=+a+%2B+13d+\"
\n" ); document.write( "(1) \"+-1%2F2+=+-a+-+6d+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+11%2F2+=+7d+\"
\n" ); document.write( "\"+d+=+11%2F14+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+6+=+a+%2B+13%2A%2811%2F14%29+\"
\n" ); document.write( "(2) \"+a+=+84%2F14+-+143%2F14+\"
\n" ); document.write( "(2) \"+a+=+-59%2F14+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "\"+x%5B10%5D+=+-59%2F14+%2B+%28+11%2F14+%29%2A%28+10+-+1+%29+\"
\n" ); document.write( "\"+x%5B10%5D+=+-59%2F14+%2B+99%2F14+\"
\n" ); document.write( "\"+x%5B10%5D+=+40%2F14+\"
\n" ); document.write( "\"+x%5B10%5D+=+20%2F7+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "What is the 7th term?
\n" ); document.write( "\"+x%5B7%5D+=+-59%2F14+%2B+%28+11%2F14+%29%2A%28+7+-+1+%29+\"
\n" ); document.write( "\"+x%5B7%5D+=+-59%2F14+%2B+66%2F14+\"
\n" ); document.write( "\"+x%5B7%5D+=+7%2F14+\"
\n" ); document.write( "\"+x%5B7%5D+=+1%2F2+\"
\n" ); document.write( "What is the 14th term?
\n" ); document.write( "\"+x%5B14%5D+=+-59%2F14+%2B+%28+11%2F14+%29%2A%28+14+-+1+%29+\"
\n" ); document.write( "\"+x%5B14%5D+=+-59%2F14+%2B+143%2F14+\"
\n" ); document.write( "\"+x%5B14%5D+=+84%2F14+\"
\n" ); document.write( "\"+x%5B14%5D+=+6+\"
\n" ); document.write( "OK
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