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Which real number does the infinite binary sequence 0.01010101… represent? I don’t understand the process of getting from an infinite binary sequence to a real number, but I do know that because the sequence keeps repeating itself, I need to think of a geometric series.

Which real number does the infinite binary sequence 0.01010101… represent?

I don’t understand the process of getting from an infinite binary sequence to a real number, but I do know that because the sequence keeps repeating itself, I need to think of a geometric series.

 
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