The recurrence relation u n 1 2u n 2 has first term u 1 10 a Find the values of u 2 , u 3 and u 4 b Prove by mathematical induction that u n 4 2 n 2 ...

The values of u2 u3 and u4 are the first few terms of the infinite series u2 ...

The recurrence relation u n+1 = 2u n - 2 has first term u 1 = 10.

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The recurrence relation u_n+1 = 2u_n - 2 has first term u₁ = 10.

a. Find the values of u₂, u₃ and u₄

b. Prove by mathematical induction that u_n 4 × 2ⁿ + 2.

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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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The recurrence relation u n+1 = 2u n - 2 has first term u 1 = 10.

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Cambridge International AS & A Level Further Mathematics Coursebook

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