- #1

Punkyc7

- 420

- 0

{a[itex]_{n}[/itex]]}n>=0 when a[itex]_{n}[/itex] is given by

a[itex]_{n}[/itex] = 6 * 5^n - 5 * 3^n.

My question is how do you find the recurrence relation a[itex]_{n}[/itex] = 6 * 5^n - 5 * 3^n.

I don't know were to start.

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- Thread starter Punkyc7
- Start date

- #1

Punkyc7

- 420

- 0

{a[itex]_{n}[/itex]]}n>=0 when a[itex]_{n}[/itex] is given by

a[itex]_{n}[/itex] = 6 * 5^n - 5 * 3^n.

My question is how do you find the recurrence relation a[itex]_{n}[/itex] = 6 * 5^n - 5 * 3^n.

I don't know were to start.

- #2

gabbagabbahey

Homework Helper

Gold Member

- 5,002

- 7

{a[itex]_{n}[/itex]]}n>=0 when a[itex]_{n}[/itex] is given by

a[itex]_{n}[/itex] = 6 * 5^n - 5 * 3^n.

My question is how do you find the recurrence relation a[itex]_{n}[/itex] = 6 * 5^n - 5 * 3^n.

I don't know were to start.

Why bother with finding a recurrence relation? Your sequence looks like a combination of two geometric sequences. What is the the generating function for each one? What do you get when you add the two generating functions together?

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