document.write( "Question 964587: 1995/1×2 +1995/2×3 + 1995/3×4 +.....+1995/1994×1995 \n" ); document.write( "

Algebra.Com's Answer #589436 by amarjeeth123(569) $\"\"$ $\"About$

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1995/1×2 +1995/2×3 + 1995/3×4 +.....+1995/1994×1995\r
\n" ); document.write( "\n" ); document.write( "The given series is equal toΣ 1995(1/(n-1)n)
\n" ); document.write( "=1995Σ((1/n-1)-(1/n))
\n" ); document.write( "=1995(1-1/2+1/2-1/3+1/3-1/4+.......+1/1993-1/1994+1/1994-1/1995)
\n" ); document.write( "=1995(1-1/1995)
\n" ); document.write( "=1995(1994/1995)
\n" ); document.write( "=1994.
\n" ); document.write( "Answer=1994. \n" ); document.write( "

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