Question

In newton forward interpolation formula the first two terms gives the which equation ?

Answer 1

Answer:

The formula is called Newton's (Newton-Gregory) forward interpolation formula. So if we know the forward difference values of f at x0 until order n then the above formula is very easy to use to find the function values of f at any non-tabulated value of x in the internal [a,b].

Answer 2

Concept:

We need to recall the concept of Newton- forward Interpolation to answer this question.

• Newton forward Interpolation  is also called Newton's Gregory Forward interpolation.

• Newton forward difference formula is a finite difference identity that gives an interpolated value between tabulated points in terms of first value and powers of forward difference.

Solution:

The Newton forward interpolation formula is given by:

Δ$F_{r}$ ×$F=F_{r+1} -F_{r}$

In this formula , the first two terms gives quadratic interpolation.