Newton inverted series by a tabular method like the following, which show the coefficients of 1, y, y,y, . . in x and its powers. 1 а2 а1 x аз 2aoa2 + a a 2aoa1 2aoa3 + 2a1a2 9.5.2 Compute the first few entries in the third row of the table (the coefficients of x), and hence show that a3 1/6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Newton inverted series by a tabular method like the following, which show
the coefficients of 1, y, y,y, . . in x and its powers.
1
а2
а1
x
аз
2aoa2 + a
a 2aoa1
2aoa3 + 2a1a2
9.5.2 Compute the first few entries in the third row of the table (the coefficients
of x), and hence show that a3 1/6.
Transcribed Image Text:Newton inverted series by a tabular method like the following, which show the coefficients of 1, y, y,y, . . in x and its powers. 1 а2 а1 x аз 2aoa2 + a a 2aoa1 2aoa3 + 2a1a2 9.5.2 Compute the first few entries in the third row of the table (the coefficients of x), and hence show that a3 1/6.
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