A sequence is defined recursively by a1 = 9, a2 = 99, and An = 11ап-1 — 10аm-2 for n > 3. Use strong mathematical induction to prove that An 10" – 1 for all n E N.
A sequence is defined recursively by a1 = 9, a2 = 99, and An = 11ап-1 — 10аm-2 for n > 3. Use strong mathematical induction to prove that An 10" – 1 for all n E N.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 42E
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