Q54Section I (Objective (Q1–Q80))54 of 80

Numerical Analysis — telescoping sum of second differences

For interval of differencing as unity, consider the following observations: $f(0)=41$ , $f(1)=61$ , $f(5)=20$ and $f(6)=50$ . What is the value of the sum $S=\sum_{k=0}^4\Delta^2f(k)$ ?

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