Practice Questions on Gregory Newton’s Formula
Various practice questions on Gregory Newton’s Formula are,
Q1: Given data points (1, 3), (2, 8), (3, 15) with a common difference h = 1, find the value at x = 4 using the Gregory-Newton Forward Formula.
Q2: Use Gregory-Newton Forward Formula to estimate the value at x = 6 for the data points (x0, y0) = (1, 2), (x1, y1) = (3, 8), (x2, y2) = (5, 18) with h = 2.
Q3: If common difference h is 3, and data points are (0, 1), (3, 10), (6, 25), use Gregory-Newton Forward Formula to find value at x = 9.
Gregory Newton Interpolation Formula
Newton-Gregory Forward Interpolation Formula is an interpolation method when our data points are evenly spaced. Interpolation is a method in maths used to make educated guesses about values between two points we already know. We can say that the Gregory–Newton forward difference formula involves finite differences that give an approximate value for f(x), where x = x0 + θ.h, and 0 < θ <1. Approximation of f(x) ≈ f0 + θ.Δf0 gives the result of Linear Interpolation.
Here in this article learn about, the Newton-Gregory Interpolation Formula, its Examples, and others in detail.
Table of Content
- What is Gregory Newton’s Formula?
- Gregory Newton Forward Formula
- Gregory Newton Backward Formula
- Applications Of Gregory Newton Formula
- Examples on Gregory Newton Difference Formula
- Practice Questions on Gregory Newton’s Formula
- Gregory Newton Formula FAQs