document.write( "Question 1185059: find the sixteenth term of (2-1/x)^18 \n" ); document.write( "

Algebra.Com's Answer #815795 by greenestamps(13198) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "I suspect the other tutor answered the wrong problem, since the question is not posed well....

\n" ); document.write( "\"find the sixteenth term IN THE EXPANSION OF of (2-1/x)^18\"

\n" ); document.write( " $\"%28C%2818%2C15%29%29%28%282%29%5E3%29%28%28-1%2Fx%29%5E15%29\"$
\n" ); document.write( " $\"%28C%2818%2C3%29%29%288%29%28-1%2Fx%5E15%29\"$
\n" ); document.write( " $\"-6528%2Fx%5E15\"$

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\n" ); document.write( "The above answer is a correction of my original response below.

\n" ); document.write( "The 16th term in the expansion is the one with the (-1/x) term to the 15th power, not the 16th.

\n" ); document.write( " $\"%28C%2818%2C16%29%29%28%282%29%5E2%29%28%28-1%2Fx%29%5E16%29\"$
\n" ); document.write( " $\"%28C%2818%2C2%29%29%284%29%281%2Fx%5E16%29\"$
\n" ); document.write( " $\"612%2Fx%5E16\"$

\n" ); document.write( " \n" ); document.write( "

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