Example Solved Problems with Answer, Solution, Formula - Finite Differences operators: Finding the missing terms | 12th Business Maths and Statistics : Chapter 5 : Numerical Methods

Chapter: 12th Business Maths and Statistics : Chapter 5 : Numerical Methods

Finite Differences operators: Finding the missing terms

Using the difference operators and shifting operator we can able to find the missing terms. Forward Difference Operator(∆), Backward Difference operator(∇), Shifting operator (E)

Finding the missing terms

Using the difference operators and shifting operator we can able to find the missing terms.

Example 5.10

From the following table find the missing value

Solution:

Since only four values of f(x) are given, the polynomial which fits the data is of degree three. Hence fourth differences are zeros.

Example 5.11

Estimate the production for 1964 and 1966 from the following data

Solution:

Since five values are given, the polynomial which fits the data is of degree four.

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12th Business Maths and Statistics : Chapter 5 : Numerical Methods : Finite Differences operators: Finding the missing terms | Example Solved Problems with Answer, Solution, Formula