Given that u n 1 2u n 1 and that u 1 1, show, by mathematical induction, that u n 2 n 1 for all n 1 ...

Suppose u1 1 and therefore un 1 Since u0 2 it follows that un1 2un 1 and since 2u1 1 ...

Given that u n+1 = 2u n + 1 and that u 1 = 1, show, by

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Given that u_n+1 = 2u_n + 1 and that u₁ = 1, show, by mathematical induction, that u_n = 2ⁿ – 1 for all n ≥ 1.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 24, 2021 12:51 AM

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Given that u n+1 = 2u n + 1 and that u 1 = 1, show, by

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Suppose u1 1 and therefore un 1 Since u0 2 it follows that un1 2un 1 and since 2u1 1 ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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