document.write( "Question 934750: The 14th term of a linear sequence is 96 while the 25th term is 173. Find the
\n" ); document.write( "a) 19th term
\n" ); document.write( "b) sum of 13th and 56th terms
\n" ); document.write( "c) sum of the first twenty terms \n" ); document.write( "

Algebra.Com's Answer #567762 by stanbon(75887) $\"\"$ $\"About$

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The 14th term of a linear sequence is 96 while the 25th term is 173.
\n" ); document.write( "14th:: a + 13d = 96
\n" ); document.write( "25th:: a + 24d = 173
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\n" ); document.write( "Substitute and solve for \"d\":
\n" ); document.write( "11d = 77
\n" ); document.write( "d = 7
\n" ); document.write( "---
\n" ); document.write( "Solve for \"a\":
\n" ); document.write( "a + 13*7 = 96
\n" ); document.write( "a + 91 = 96
\n" ); document.write( "a = 5
\n" ); document.write( "--------
\n" ); document.write( "Find the
\n" ); document.write( "a) 19th term:: a + 18d = 5+18*7 = 131
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\n" ); document.write( "b) sum of 13th and 56th terms
\n" ); document.write( "a+12d + a+55d = 2a + 67d = 10+469 = 479
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\n" ); document.write( " c) sum of the first twenty terms
\n" ); document.write( "I'll leave that to you.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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