ppose you want to type sequences of vowels (that is, the letters a, e, i, o d u). However, the e key on your keyboard is defective and every time you ess it, it outputs ee instead of just e. t y the number of sequences of length n you can type in this way. Find yo, Y1, V2. Write a second-order difference equation for the value of yn- O Solve the difference equation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 25E
Question

can you please provide working and explanations 

Suppose you want to type sequences of vowels (that is, the letters a, e, i, o
and u). However, the e key on your keyboard is defective and every time you
press it, it outputs ee instead of just e.
Let y, the number of sequences of length n you can type in this way.
(i) Find Yo, Y1, Y2.
(ii) Write a second-order difference equation for the value of yn.
(iii) Solve the difference equation.
Transcribed Image Text:Suppose you want to type sequences of vowels (that is, the letters a, e, i, o and u). However, the e key on your keyboard is defective and every time you press it, it outputs ee instead of just e. Let y, the number of sequences of length n you can type in this way. (i) Find Yo, Y1, Y2. (ii) Write a second-order difference equation for the value of yn. (iii) Solve the difference equation.
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