[" If "sum(r=1)^(n)r(r+1)(2r+3)=an^(4)+b...

[" If "sum_(r=1)^(n)r(r+1)(2r+3)=an^(4)+bn^(3)+cn^(2)+dn+e," then "],[[" (A) "a+c=b+d," (B) "e=0],[" (C) "a,b-2/3,c-1" are in A.P."," (D) cla is an integer "]]

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sum_(r=1)^( If )r(r+1)(2r+3)=an^(4)+bn^(3)+cn^(2)+dn+e then a-b=d-ce=0a,b-2/3,c-1 are in A.P.(b+d)/a is an integer