. Solve the following recurrence relations. а. х(п) — х (п -1) + 5 for n > 1, x(1) — 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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1. Solve the following recurrence relations.
а. x(п) — х (п - 1) + 5 for n > 1, х(1) — 0
b. x(п) — Зx (п - 1) for n > 1, x(1) — 4
с. x(п) — х (п - 1) +n for n > 0, х(0) — 0
d. x(n) = x(n/2)+n for n > 1, x(1) = 1 (solve for n = 2*)
e. x(n) = x(n/3) +1 for n > 1, x(1) = 1 (solve for n = 3k)
Transcribed Image Text:1. Solve the following recurrence relations. а. x(п) — х (п - 1) + 5 for n > 1, х(1) — 0 b. x(п) — Зx (п - 1) for n > 1, x(1) — 4 с. x(п) — х (п - 1) +n for n > 0, х(0) — 0 d. x(n) = x(n/2)+n for n > 1, x(1) = 1 (solve for n = 2*) e. x(n) = x(n/3) +1 for n > 1, x(1) = 1 (solve for n = 3k)
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