# That's Too Many Terms To Write!

Algebra Level 1

Consider an arithmetic progression whose first term and common difference are both 100. If the $$n^\text{th}$$ term of this progression is equal to $$100!$$, find $$n.$$

Notation: $$!$$ denotes the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

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