Sequence and Summitation Notation Nation

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8 Terms

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infinite sequence

a function whose domain is the set of all positive integers

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finite sequence

the function consists of only n positive integers

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fibonacci sequence

the sequence is definded recursively - the next term is defined by the previous term

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series

the sum of a sequence

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Partial sum

Contains an ending value

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Actual infinite sum

Eventually will approach a number

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Finite Arithemtic Sequence

Sn = n/2 * a1 + an (a1 = first term, an = last term)

<p>S<sub>n</sub> = n/2 * a<sub>1 </sub>+ a<sub>n</sub> (a<sub>1</sub> = first term, a<sub>n</sub> = last term)</p>
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Recursion Formula

If you know the nth term and the common difference, you can find the (n+1) term by using an+1 = an + d

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