SOLUTION: Solve 1 power 4/ (1 x 3) + 2 power 4 /(3 x 5) +3 power 4/(5 x 7)��n power 4/(2n-1)(2n+1)

Question 931537: Solve 1 power 4/ (1 x 3) + 2 power 4 /(3 x 5) +3 power 4/(5 x 7)��n power 4/(2n-1)(2n+1)

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
1 power 4/ (1 x 3) + 2 power 4 /(3 x 5) +3 power 4/(5 x 7)��n power 4/(2n-1)(2n+1)



We break 

into partial fractions, first by writing it as 

Then break  into partial fractions, getting



Then that's telescoping series.  Then use the sum of squares formula

and put it altogether and you end up with the expression for the sum as



Edwin

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SOLUTION: Solve 1 power 4/ (1 x 3) + 2 power 4 /(3 x 5) +3 power 4/(5 x 7)������n power 4/(2n-1)(2n+1)

SOLUTION: Solve 1 power 4/ (1 x 3) + 2 power 4 /(3 x 5) +3 power 4/(5 x 7)��n power 4/(2n-1)(2n+1)