Solution Found!
Find the solution to each of these recurrence relations
Chapter 1, Problem 16E(choose chapter or problem)
Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative approach such as that used in Example 10.
a) \(a_{n}=-a_{n-1}, a_{0}=5\)
b) \(a_{n}=a_{n-1}+3, a_{0}=1\)
c) \(a_{n}=a_{n-1}-n, a_{0}=4\)
d) \(a_{n}=2 a_{n-1}-3, a_{0}=-1\)
e) \(a_{n}=(n+1) a_{n-1}, a_{0}=2\)
f) \(a_{n}=2 n a_{n-1}, a_{0}=3\)
g) \(a_{n}=-a_{n-1}+n-1, a_{0}=7\)
Questions & Answers
QUESTION:
Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative approach such as that used in Example 10.
a) \(a_{n}=-a_{n-1}, a_{0}=5\)
b) \(a_{n}=a_{n-1}+3, a_{0}=1\)
c) \(a_{n}=a_{n-1}-n, a_{0}=4\)
d) \(a_{n}=2 a_{n-1}-3, a_{0}=-1\)
e) \(a_{n}=(n+1) a_{n-1}, a_{0}=2\)
f) \(a_{n}=2 n a_{n-1}, a_{0}=3\)
g) \(a_{n}=-a_{n-1}+n-1, a_{0}=7\)
ANSWER:Step 1 of 8
Recurrence relations are calculations that depict sequences according to rules. It helps in figuring out the subsequent phrase, which depends on the prior term.