General formula for finding the sum of sequences and series?

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There is no general formula for finding the sum of all types of sequences and series, as it varies depending on the specific type, such as geometric, arithmetic, or recursive. Identifying the type of series is crucial for determining the appropriate summation method. If faced with a specific series, sharing it can help others assist in identifying its type or suggest special techniques. Ultimately, understanding the nature of the series is essential for calculating its sum. No universal solution exists for all sequences and series.
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I know that there are particular formulas for finding the geometric/arithmetic/ and recursive sequences or series with \Sigma. But is there a general formula for finding the sum for all three types? For example, what if I was asked to find a sum of a particular finite sequence but I don't know whether or not it's geometric, arithmetic, or recursive? Help would be appreciated.
 
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No, there's no general formula. It completely depends on the type of series. If you are having problems with some specific series then you can post it and somebody can give you a hand with identifying the type or some other special trick. But there's no magic bullet.
 

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