1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+...

`1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3`

1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3
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lim(n->oo) {1/1.3+1/3.5+1/5.7+.....+1/((2n+1)(2n+3)) is equal to
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1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^(2)+6n-1))/(3)
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Prove the following by the principle of mathematical induction: \ 1....
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(1^(4))/(1.3)+(2^(4))/(3.5)+(3^(4))/(5.7)+......+(n^(4)) /((2n-1)(2n+1...
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Statement -1: (1^(2))/(1.3)+(2^(2))/(3.5)+(3^(2))/(5.7)+ . . . .+(n^(...
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1.3+3.5+5.7+……….+(2n-1)(2n+1)=(n(4n^(2)+6n-1))/(3)
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underset(n to oo)lim {(1)/(1.3)+(1)/(3.5)+(1)/(5.7)+.....+(1)/((2n-1)(...
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1/1.3 + 1/3.5 + 1/5.7 +…..+ 1 // (2n-1)(2n+1) = n//2n+1
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