'Linear recurrence relation' presentation slideshows

22C:19 Discrete Math Advanced Counting

22C:19 Discrete Math Advanced Counting. Fall 2011 Sukumar Ghosh. Compound Interest. A person deposits $10,000 in a savings account that yields 10% interest annually. How much will be there in the account After 30 years? Let P n = account balance after n years.

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a 0

a 0 =0. a 1 =2. a n. a 2 =6. a n -1. a 3 =12. a 4 =20. a 2. a 1. a 0. 10.1 The First-Order Linear Recurrence Relation. geometric progression. a first-order, linear, and homogeneous recurrence relation (difference equation) with constant coefficient. The arithmetic progression .

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Chapter 10 Infinite Series

Chapter 10 Infinite Series. Early Results Power Series An Interpolation on Interpolation Summation of Series Fractional Power Series Generating Functions The Zeta Function Biographical Notes: Gregory and Euler. 10.1 Early Results.

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Recurrence Relations

Recurrence Relations . An equation that allow us to compute the n th term of a sequence from preceding terms. Example1: The selection sort In the selection sort algorithm the total number of comparisons is given by. 0 if n = 1 C n = C n-1 + n-1 for n > 1.

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Recurrence Relations (RRs)

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Chap. 10 Recurrence Relations

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Recurrence Relations (RRs)

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Activity 2-18: Zeroes of a Recurrence Relation

www.carom-maths.co.uk. Activity 2-18: Zeroes of a Recurrence Relation. We all know the Fibonacci sequence, . 1, 1, 2, 3, 5, 8, 13. We can write this as u n+1 = u n + u n-1 , with u 1 = 1, u 2 = 1 . So the next term is the sum of the previous two,

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