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# Anyone know how to explain this?? watch

1. Attachment 724438

Help.
2. A picture would be helpful
3. (Original post by Y11_Maths)
there.
4. (Original post by LoveLifeAndPie)
there.
What are ? Fibbonaci numbers or what??
5. (Original post by RDKGames)
What are ? Fibbonaci numbers or what??
yeah.
6. I can’t see any pictures???
7. (Original post by Y11_Maths)
I can’t see any pictures???

8. Second line - all you do here is remove the first two terms out of sigma.

Third line - all you do here is replace and since these are the first two Fibonnaci numbers.

Fourth line - all you do is split the sum.

Fifth line - make a change of variable for the first sum, which is , and a change of variable for the second sum

Sixth line - so you can factor the one out of the sum. Similarly for the second sum.

Seventh line - note that so starting that sum from is the same as starting the sum from , as then you'd just be adding on a 0 and this doesn't change the value.

Eighth line - are dummy variables and can be replace with again.

Last line - just apply the equality you start with and replace the sums.

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Updated: February 12, 2018
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