document.write( "Question 946811: which term of the sequence 5,7/2,2....is -19 \n" ); document.write( "

Algebra.Com's Answer #577615 by Fombitz(32388) $\"\"$ $\"About$

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The common difference is $\"7%2F2-5=7%2F2-10%2F2=-3%2F2\"$ .
\n" ); document.write( "The first term is $\"5\"$ .
\n" ); document.write( "So,
\n" ); document.write( " $\"a%5Bn%5D=5-%283%2F2%29%28n-1%29\"$
\n" ); document.write( "When $\"a%5Bn%5D=-19\"$ , then,
\n" ); document.write( " $\"5-%283%2F2%29%28n-1%29=-19\"$
\n" ); document.write( " $\"-%283%2F2%29%28n-1%29=-24\"$
\n" ); document.write( " $\"n-1=16\"$
\n" ); document.write( " $\"n=17\"$
\n" ); document.write( "The 17th term. \n" ); document.write( "

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