For some integer n>1n>1n>1, the infinite series 2n+3n2+2n3+3n4+⋯=751\dfrac2n+\dfrac3{n^2}+\dfrac2{n^3}+\dfrac3{n^4}+\cdots=\dfrac7{51}n2+n23+n32+n43+⋯=517. Find the value of nnn. A131313B141414C151515D161616E171717F181818