If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)b...

If `sum_(r=0)^(2n)a_r(x-2)^r=sum_(r=0)^(2n)b_r(x-3)^ra n da_k=1` for all `kgeqn ,` then show that `b_n=^(2n+1)C_(n+1)` .

If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...
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Show that the HM of (2n+1)C(-) and (2n+1)C(-)(r+1) is (2n+1)/(n+1) xx ...
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If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...
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If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,t h e na= (^n C2)^2 b. ^n Crdot^...
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sum(i=0i0)^(2n)a(r)(x-1)^(r)=sum(r=0)^(2n)b(r)(x-2)^(r) and b(r)=(-1)^...
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If sum(r=0)^(2n)(-1)^(r)(2n(C(r))^(2)=alpha(1), then sum(r=0)^(2n)(-1)...
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Prove that sum(r=0)^(2n) r.(""^(2n)C(r))^(2)= 2.""^(4n-1)C(2n-1).
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If (1+x+x^(2))^(n)=a(0)+a(1)x+a(2)x^(2)+….+a(2n)x^(2n), then prove tha...
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If (1+2x+x^2)^n= sum(r=0)^(2n) a, x' then ar=
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