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" If "A(r)=|[1,r,2^(r)],[2,n,n^(2)],[n,(...

" If "A_(r)=|[1,r,2^(r)],[2,n,n^(2)],[n,(n(n+1))/(2),2^(n+1)]|," then the value of "sum_(r=1)^(n)A_(n)" is "

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If Delta_(r) = |(1,r,2^(r)),(2,n,n^(2)),(n,(n(n_1))/(2),2^(n+1))| , then the value of sum_(r=1)^(n) Delta_(r) is

If Delta_(r) = |(1,r,2^(r)),(2,n,n^(2)),(n,(n(n+1))/(2),2^(n+1))| , then the value of sum_(r=1)^(n) Delta_(r) is

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If A_r=|[1,r,2^r],[2,n,n^2],[n,(n(n+1))/2, 2^(n+1)]|, the value of sum_(r=1)^n A_r is (A) n (B) 2n (C) -2n (D) n^2

If A_r=|[1,r,2^r],[2,n,n^2],[n,(n(n+1))/2, 2^(n+1)]|, the value of sum_(r=1)^n A_r is (A) n (B) 2n (C) -2n (D) n^2

If D_(r) = |(r,1,(n(n +1))/(2)),(2r -1,4,n^(2)),(2^(r -1),5,2^(n) -1)| , then the value of sum_(r=1)^(n) D_(r) , is

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If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is