a) Use divided differences and interpolation to obtain the formula for the sum of first n positive integers. Then by using the formula that you found, find the sum of first 100 positive integers. Hint: Is is a second degree polynomial b) For the data (0, – 1), (1,6), (2, 17) find the interpolating polynomial using Lagrange interpolation formula.
a) Use divided differences and interpolation to obtain the formula for the sum of first n positive integers. Then by using the formula that you found, find the sum of first 100 positive integers. Hint: Is is a second degree polynomial b) For the data (0, – 1), (1,6), (2, 17) find the interpolating polynomial using Lagrange interpolation formula.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.2: Divisibility And Greatest Common Divisor
Problem 15E
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