# Determine the Closed Form of a Recurrance Relation

Using this iteration method, I need to figure out the closed form for this reccurance relation:**T(n) = 2T(n - 10) + 3, for n > 11, T(n) = 5 for n <= 10**The answer is to be expressed exactly, using equality and

**not**a bound or asymptomatic notation.

you can assume the following:

- n = 10l +1 for some positive integer l
- the expression does not need to be completely simplified, you can use either or both n and l in the solution

**5 5 5 5 5 5 5 5 5 5 13 13 13 13 13 13 13 13 13 13 29 29 29 29 29 29 29 29 29 29 ...**

Help in finding the closed form of this relation? preferably in terms of n , l and maybe both?

## Answer

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Alessandro Iraci

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The answer is accepted.

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