[FREE] Consider the integer N = 9 + 99 + 999 + 9999 + \cdots ...

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N = 9 + 99 + 999 + 9999 + ⋯ + 321 digits 99 … 99 . In this series, each term is a number composed entirely of the digit 9. The first term is 9, the second term is 99, the third term is 999, and so on, up to the term that has 321 digits of 9.


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