3. Consider the sequence (an), defined recursively as follows ао = 1 n An+1 = Σ a₂ 5n-i, n≥ 0. 4. i=0 Find the generating function of this sequence and use it to find a formula for the elements of the sequence. How many different system of distinct representatives are there for the sets A₁ = [n]\{i}, with i = 1,...,n and n ≥ 2? Hint: Review 2.2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 48E
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Answer question 4 only

3.
Consider the sequence (an), defined recursively as follows
ао
=
1
n
An+1
=
Σ a₂ 5n-i, n≥ 0.
4.
i=0
Find the generating function of this sequence and use it to find a formula for the
elements of the sequence.
How many different system of distinct representatives are there for
the sets A₁ = [n]\{i}, with i = 1,...,n and n ≥ 2?
Hint: Review 2.2
Transcribed Image Text:3. Consider the sequence (an), defined recursively as follows ао = 1 n An+1 = Σ a₂ 5n-i, n≥ 0. 4. i=0 Find the generating function of this sequence and use it to find a formula for the elements of the sequence. How many different system of distinct representatives are there for the sets A₁ = [n]\{i}, with i = 1,...,n and n ≥ 2? Hint: Review 2.2
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