document.write( "Question 739888: If the first term of the arithmetic sequence is 5 and the ninth term is 29, where would the number 101 be found? \n" ); document.write( "
Algebra.Com's Answer #451405 by josgarithmetic(39618)\"\" \"About 
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Basic Expression for Term of the Sequence (arithmetic):
\n" ); document.write( "\"5%2B%28n-1%29d\"
\n" ); document.write( "n is the index of the term
\n" ); document.write( "d is the common difference between terms\r
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\n" ); document.write( "\n" ); document.write( "Given for n=9, term is 29.
\n" ); document.write( "\"5%2B%289-1%29d=29\"
\n" ); document.write( "\"5%2B8d=29\"
\n" ); document.write( "\"8d=29-5\"
\n" ); document.write( "\"8d=24\"
\n" ); document.write( "\"d=3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "More Specific Formula for Expression of each Term:
\n" ); document.write( "\"5%2B%28n-1%29%2A3\"\r
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\n" ); document.write( "\n" ); document.write( "The number, 101 will have an expression for this value :
\n" ); document.write( "\"5%2B%28n-1%29%2A3=101\"
\n" ); document.write( "FIND n.
\n" ); document.write( "\"5%2B3n-3=101\"
\n" ); document.write( "\"3n%2B2=101\"
\n" ); document.write( "\"3n=99\"
\n" ); document.write( "\"n=99%2F3\"
\n" ); document.write( "\"highlight%28n=33%29\".
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