设级数∑(n=1)Un收敛,且∑Un=u,则级数∑(Un+U(n+1))=?

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设级数∑(n=1)Un收敛,且∑Un=u,则级数∑(Un+U(n+1))=?设级数∑(n=1)Un收敛,且∑Un=u,则级数∑(Un+U(n+1))=?设级数∑(n=1)Un收敛,且∑Un=u,则级数

设级数∑(n=1)Un收敛,且∑Un=u,则级数∑(Un+U(n+1))=?
设级数∑(n=1)Un收敛,且∑Un=u,则级数∑(Un+U(n+1))=?

设级数∑(n=1)Un收敛,且∑Un=u,则级数∑(Un+U(n+1))=?
∑(Un+U(n+1))=∑Un+∑Uk=(∑Un+∑Uk)-U1=2∑Un-U1
=2u-U1