# Sequence!

**Logic**Level 3

\[ 1 + 11 + 101 + 1001 + 10001 + \cdots+ 1\underbrace{000\ldots00}_{\text{fifty 0's}}1 \]

Find the sum of the digits when the number above is written as a single integer.

\[ 1 + 11 + 101 + 1001 + 10001 + \cdots+ 1\underbrace{000\ldots00}_{\text{fifty 0's}}1 \]

Find the sum of the digits when the number above is written as a single integer.

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