- #1
bigpunz04
- 4
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Hello -
I am having a tough time understanding the problems in the attached picture (Problem 13). My issue is understanding how I plug in the proposed solutions, specifically those that include n. I am able to solve A and B but unable to solve the rest.
For instance, how do I plug in C or D into the original question? What do I do with the original sub values (n-1) and (n-2) ?
Here is the problem:
"Is the sequence {an} a solution of the recurrence relation
an = 8an-1 - 16an-2 if:"
a) an = 0?
b) an = 1?
c) an = 2n?
d) an = 4n?
e) an = n4n?
My approach to question c
8(2n-1) -16(2n-2)
which I believe gives me...
= 16n-1 - 32n-2
But that answer is obviously wrong. So I'm thinking that I am not plugging the solutions that include n properly. Ugghh so frustrated.
I am having a tough time understanding the problems in the attached picture (Problem 13). My issue is understanding how I plug in the proposed solutions, specifically those that include n. I am able to solve A and B but unable to solve the rest.
For instance, how do I plug in C or D into the original question? What do I do with the original sub values (n-1) and (n-2) ?
Here is the problem:
"Is the sequence {an} a solution of the recurrence relation
an = 8an-1 - 16an-2 if:"
a) an = 0?
b) an = 1?
c) an = 2n?
d) an = 4n?
e) an = n4n?
My approach to question c
8(2n-1) -16(2n-2)
which I believe gives me...
= 16n-1 - 32n-2
But that answer is obviously wrong. So I'm thinking that I am not plugging the solutions that include n properly. Ugghh so frustrated.
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