document.write( "Question 320727: (1/1*2)+(1/2*3)+(1/3*4)+.........find the sum of n terms of the given series? \n" ); document.write( "

Algebra.Com's Answer #229703 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution,
\n" ); document.write( " $\"1%2F%28i%28i%2B1%29%29=1%2Fi-1%2F%28i%2B1%29\"$
\n" ); document.write( "So then
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\n" ); document.write( "\n" ); document.write( " $\"1%2F%281%2A2%29%2B1%2F%282%2A3%29%2B1%2F%283%2A4%29\"$ +... $\"1%2F%28n%28n%2B1%29%29\"$ =( $\"1%2F1%2B1%2F2%2B1%2F3%2B1%2F4\"$ +...+ $\"1%2Fn\"$ )-( $\"1%2F2%2B1%2F3%2B1%2F4\"$ +...+ $\"1%2Fn%2B1%2F%28n%2B1%29\"$ )
\n" ); document.write( " $\"1%2F%281%2A2%29%2B1%2F%282%2A3%29%2B1%2F%283%2A4%29\"$ +... $\"1%2F%28n%28n%2B1%29%29=highlight%281-1%2F%28n%2B1%29%29\"$
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