The terms of a sequence, defined by the iterative formula x n 1 In(x n 2 4), converge to the value The first term of the sequence is 2 a Find the value of correct to 2 decimal places Give each term of the sequence you find to 4 decimal places b The value is a root of an equation of the form x 2 f(x...

a To find the value of correct to 2 decimal places we need to i ...

The terms of a sequence, defined by the iterative formula x n +1 = In(x n 2

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The terms of a sequence, defined by the iterative formula x_n₊₁ = In(x_n² + 4), converge to the value α. The first term of the sequence is 2.

a. Find the value of α correct to 2 decimal places. Give each term of the sequence you find to 4 decimal places.

b. The value α is a root of an equation of the form x² = f(x). Find this equation.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Mar 24, 2023 02:16 AM

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The terms of a sequence, defined by the iterative formula x n +1 = In(x n 2

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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