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Perform the following : a) Find Newtons Forward Difference interpolating Polynomial for the following data X : 0.1 0.2 0.3 0.4 0.5 F(X) : 1.40 1.56 1.76 2.00 2.28

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Perform the following :
 a)  Find Newtons Forward Difference interpolating Polynomial for the  following data  X :  0.1  0.2  0.3  0.4  0.5 F(X) :    1.40  1.56  1.76  2.00  2.28
b)  Estimate the missing term in the following data, using Difference table 
x :   1   2   3   4  5 
f(x) :    3   7  ?   21   31

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