The terms of the sequence generated by the iterative formula with initial value x 1 1 5, converge to a Use this formula to find correct to 2 decimal places Give the result of each iteration to an appropriate number of decimal places b State an equation satisfied by , and hence find the exact value ...

a Using the iterative formula we can calculate the first few terms of the sequence as follows X2 671 ...

The terms of the sequence generated by the iterative formula with initial value x 1 = 1.5,

Question:

The terms of the sequence generated by the iterative formula

with initial value x₁ = 1.5, converge to α.

a. Use this formula to find α correct to 2 decimal places. Give the result of each iteration to an appropriate number of decimal places.

b. State an equation satisfied by α, and hence find the exact value of α.

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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 02:58 AM

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The terms of the sequence generated by the iterative formula with initial value x 1 = 1.5,

Question:

Xn+1 = (₁ Xn+ Xn

Step by Step Answer:

a Using the iterative formula we can calculate the first few terms of the sequence as follows X2 671...View the full answer

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

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