The sequence a 1 , a 2 , a 3 , ... is such that a 1

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The sequence a₁, a₂, a₃, ... is such that a₁ > 5 and a_n+1 = 4a_n/5 + 5/a_n for every positive integer n.

Prove by mathematical induction that a_n > 5 for every positive integer n.

Prove also that a_n > a_n+1 for every positive integer n.

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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 sequence a 1 , a 2 , a 3 , ... is such that a 1

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The sequence is a geometric series which satisfies th...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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