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If f_i=10,\qquad f_{i-1}=7,\qquad f_{i-2}=5, what is the second backward di...

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If

 f_i=10,\qquad f_{i-1}=7,\qquad f_{i-2}=5, f_i=10,\qquad f_{i-1}=7,\qquad f_{i-2}=5, what is the second backward difference?  \nabla ^2 f_i=f_i-2f_{i-1}+f_{i-2}. \nabla ^2 f_i=f_i-2f_{i-1}+f_{i-2}.

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