" XIII."quad 1^(2)+3^(2)+5^(2)+...+(2n-1...

" XIII."quad 1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)=(n(2n-1)(2n+1))/(3)

" XIII."quad 1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)=(n(2n-1)(2n+1))/(3)
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((2n+1)!)/((2n-1)!)*((n-1)!)/((n+2)!)=(3)/(5)
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If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...
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The sum of the series 1^2+3^2+5^2+.......\ n terms is a.(n(n+1)(2n+1))...
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1^(2)+3^(2)+5^(2)+.......+(2n-1)^(2) =(n(2n-1)(2n+1))/(3)
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STATEMENT - 1 : If n is even, .^(2n)C(1)+.^(2n)C(3)+.^(2n)C(5)+"….."+....
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1^(2)+3^(2)+5^(2)+…………….+(2n-1)^(2)=(n(2n-1)(2n+1))/(3)
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सिद्ध कीजिए कि ((2n)!)/(n!) = 2^(n) *{1 *3*5*...*(2n-1)}.
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((2n)/(n^(2)+1))+(1)/(3)((2n)/(n^(2)+1))^(3)+(1)/(5)((2n)/(n^(2)+1))^(...
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