Question

Find x if Xo = 0.5, n = 1.5 and h = 1.​

Answer 1

Answer:

Newton – Gregory Forward Interpolation formula is given by

f(x) = y0 + nΔy0 + n(n-1)Δ2y0/2! + n(n-1)(n-2) Δ3y0 /3! + …..

This formula is obtained by the Newton’s Divided difference formula by substituting the intervals as h. This is done because we assume the intervals to be constant, that is, equally spaced.