g(x) = e x 1 + 2x 15 a. Show that the equation g(x) =

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g(x) = ex − 1 + 2x − 15

a. Show that the equation g(x) = 0 can be written as

The root of g(x) = 0 is α. The iterative formula xn + 1 = ln (15 − 2xn) + 1, x0 = 3, is used to find a value for α.

b. Calculate the values of x1, x2 and x3 to 4 decimal places.

c. By choosing a suitable interval, show that α = 3.16 correct to 2 decimal places.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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