[" Q.13of "15],[qquad [C(1)+2C(2)+3C(3)+...

[" Q.13of "15],[qquad [C_(1)+2C_(2)+3C_(3)+------+nC_(n)=],[n.2^(n)]" Mark for revie "],[qquad [n.2^(n-1)],[(n+1).2^(n)]]

[" Q.13of "15],[qquad [C(1)+2C(2)+3C(3)+------+nC(n)=],[n.2^(n)]" Mark...
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If C(r) stands for nC(r), then the sum of the series (2((n)/(2))!((n)/...
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c(1)^(2)+2C(2)^(2)+3C(3)^(2)+....+nC(n)^(2)=((2n-1)!)/ ([(n-1)!^(2)))
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If (1+x)^(n)=sum(r=0)^(n)C(r)x^(r) then prove that C(0)+2C(1)+3C(2)+.....
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Prove that (i) C(1)+2C(2)+3C(3)+……+nC(n)=n.2^(n+1) (ii) C(0)+(C(1)/(2)...
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सिध्द कीजिए कि C(0) + 2C(1) + 3C(2) + ..... + (n + 1) C(n) = (n + 2)2^...
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सिध्द कीजिए कि - C(0) - 2C(1) + 3C(2)-......+(n+1)(-1)^(n)C(n)=0
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यदि C(0),C(1),C(2),....C(n) सभी (1+x)^(n), के प्रसार में द्विपद गुणांक...
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यदि (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+....+C(n)x^(n), तो इन का मान ज्ञात ...
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