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anemone
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A sequence is defined recursively by $a_1=2007$, $a_2=2008$, $a_3=-2009$, and for $n>3$, $a_n=a_{n-1}-a_{n-2}+a_{n-3}+n$.
Find $a_{61}+a_{63}$.
Find $a_{61}+a_{63}$.
anemone said:A sequence is defined recursively by $a_1=2007$, $a_2=2008$, $a_3=-2009$, and for $n>3$, $a_n=a_{n-1}-a_{n-2}+a_{n-3}+n$.
Find $a_{61}+a_{63}$.
The Sequence Challenge is a mathematical problem that involves finding the sum of two specific terms in a sequence, usually denoted as $a_{n}$, where n represents the position of the term in the sequence.
In this particular sequence challenge, $a_{61}$ and $a_{63}$ refer to the 61st and 63rd terms in the sequence, respectively. These specific terms have been chosen as they have a certain relationship that allows for an interesting solution to the challenge.
The solution to the Sequence Challenge involves understanding the pattern or relationship between the terms in the sequence. Once you have identified this pattern, you can use it to calculate the values of $a_{61}$ and $a_{63}$ and then find their sum.
One tip for solving the Sequence Challenge is to look for patterns in the differences between the terms in the sequence. This can help you identify the relationship between the terms and make it easier to calculate their values.
There are many online resources and books that offer a variety of Sequence Challenges to solve. You can also create your own by coming up with a pattern and challenging others to find the solution.