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Jotadiolyne Dicci
May 11, 2020

Find an explicit formula for this sequence part 2

in Math Problems

I have another question about sequences.

On the previous question, we had found an explicit formula even for any n a natural number (there were conditions on the formula, if n was odd or even).

Now I asked myself the following question:

Give an explicit formula of U(n) for any n on the natural integers such as:

If n = 0 mod 3, U(n)=(7/3)n+1

If n = 1 mod 3, U(n)=(7/3)n+5/3

If n = 2 mod 3, U(n)=(7/3)n+8/3


I wanted to use the cosine function but I don't know how to search well enough to find 3 values that repeat.

2 answers2 replies
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Jotadiolyne Dicci
May 12, 2020

Okay so I found something !


1
Jotadiolyne Dicci
May 12, 2020  ·  Edited: May 12, 2020

There is another one which is easier to find.




Ian Fowler
May 13, 2020

Wow! Can you show us some details? Looks pretty cool.

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Jotadiolyne Dicci
May 13, 2020

@Ian Fowler Yes, if you want! But what do you mean by details?

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4 comments