Give a recursive definition of
the sequence {an}, n=1,2,3,…if
an = 1+(-1)n
an = n2
of the set of ordered pairs of positive integers S = {(a,b) | a Ñ” Z+, b
Ñ” Z+, and 3 |(a+b)}.
Mathematics Homework Solutions
#84167
Recursive definitions
(See attached file for full problem description)
---
Give a recursive definition of
a) the sequence {an}, n=1,2,3,…if
i. an = 1+(-1)n
ii. an = n2
b) of the set of ordered pairs of positive integers S = {(a,b) | a є Z+, b є Z+, and 3 |(a+b)}.
This solution is comprised of a detailed explanation to give a recursive definition.
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