document.write( "Question 1179417: Find the specified nth term in the expansion of the binomial.\r
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Algebra.Com's Answer #808974 by ikleyn(52799)\"\" \"About 
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\n" ); document.write( "Find the specified nth term in the expansion of the binomial.
\n" ); document.write( "(x - 10z)^7, n = 5
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document.write( "They want you determine the 5-th term in the binomial expansion\r\n" );
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document.write( "    \"%28x-10z%29%5E7\" = \"sum%28C%5B7%5D%5Ek%2Ax%5E%287-k%29%2A%28-10z%29%5Ek%2C+k=0%2C7%29\".\r\n" );
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document.write( "     |    The 5-th term  is  at  k=4  (be attentive and notice it:      |\r\n" );
document.write( "     |    you should take k=4,  NOT  k=5 (!) --- BECAUSE the counter    |\r\n" );
document.write( "     |           k goes from k = 0)  and is equal to                    |\r\n" );
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document.write( "    \"C%5B7%5D%5E4%2Ax%5E3%2A%28-10z%29%5E4\" = \"%28%287%2A6%2A5%29%2F%281%2A2%2A3%29%29%2Ax%5E3%2A10%5E4%2Az%5E4\" = \"350000x%5E3%2Az%5E4\".\r\n" );
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document.write( "So the 5-th term is  \"350000x%5E3%2Az%5E4\".      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion\r
\n" ); document.write( "\n" ); document.write( "    - Remarkable identities for Binomial Coefficients\r
\n" ); document.write( "\n" ); document.write( "    - The Pascal's triangle \r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on binomial coefficients \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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