document.write( "Question 1118102: The sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms of the sequence
\n" ); document.write( "is -165. Find the 18th term of the sequence. \n" ); document.write( "
Algebra.Com's Answer #733360 by stanbon(75887)\"\" \"About 
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The sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms of the sequence is -165 find the 18th term of the sequence.
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\n" ); document.write( "10(a(1)+a(10))/2 = -60
\n" ); document.write( "15(a(1)+a(15))/2 = -165
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\n" ); document.write( "a(1)+a(10) = -12
\n" ); document.write( "a(1)+a(15) = -22
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\n" ); document.write( "a(10)-a(15) = 10
\n" ); document.write( "5d = 10
\n" ); document.write( "d = 2
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\n" ); document.write( "a(1) + 9d = -12
\n" ); document.write( "a(1) + 18 = -12
\n" ); document.write( "a(1) = -30
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\n" ); document.write( "Ans:: a(18) = -30 + 17*2 = -16
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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