10. Show that an = : 2n5n is also a solution to the recurrence relation an = 7an-1-10an-2. What would the initial conditions need to be for this to be the closed formula for the sequence?
10. Show that an = : 2n5n is also a solution to the recurrence relation an = 7an-1-10an-2. What would the initial conditions need to be for this to be the closed formula for the sequence?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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Question
For the Recurrence relation. i was doing this steps:
an = 2n - 5n
WTS : an = 7an-1 - 10an-2
Lets prove LHS = RHS
2n - 5n = 7an-1 - 10an-2
= 7(2n-1 - 5n-1) - 10(2n-2 - 5n-2)
= 7 X 2n-1 - 7 X - 5n-1 - 10 X 2n-2 + 10 X 5n-2
= "? " from this line how can i solve this problem & prove LHS = RHS (2n - 5n = 2n - 5n )
Please answer this ques using my steps.please and solve this problem (try to show the work line by line )
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