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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(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.

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