# Geometric progressions

Algebra Level 3

Consider a geometric progression which:-

• Starts with $$10!$$.
• Has a common ratio of 10.

Which term of this geometric progression is $$9! \times{10}^{10}$$?

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

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