How high is my ceiling?

Algebra Level 3

$\left \lceil 0.00001 + \sum_{n=0}^{\infty} 2^{-n} \right \rceil = \, ?$

Notation : $\lceil \cdot \rceil$ denotes the ceiling function .

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0 3 1 2

1 solution

Geoff Pilling
May 15, 2016

$0.00001 + \sum_{n=0}^{\infty} 2^{-n} = 2.00001$ .

So $\left \lceil 0.00001 + \sum_{n=0}^{\infty} 2^{-n} \right \rceil\ = \boxed3$