# Let's progress Geometrically!

Algebra Level 4

Suppose $$S$$ denotes sum to infinity and $$S_n$$ denotes the sum of $$n$$ terms of the series $1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\cdots$ such that $$S-S_n<\dfrac{1}{1000}$$, then what will be the least value of $$n$$?

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