Question
20. Let the numbers x,, be defined as follows: x=1, x = 2, and xn+2 = ne N. Use the Principle of Strong Induction
20. Let the numbers x,, be defined as follows: x=1, x = 2, and xn+2 = ne N. Use the Principle of Strong Induction (1.2.5) to show that 1 x (xn+1 + xn) for all 2 for all neN. 1.2.5 Principle of Strong Induction Let S be a subset of N such that (1") 1 S. (2") For every kEN, if {1, 2, ..., k} CS, then k +1ES. Then S=N.
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
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