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The first term of a given sequence is 1, and each successive term is the sum of all the previous terms of the sequence. What is the value of the first term which exceeds 50000?

 Dec 26, 2020
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I can start the sequence like this:

 

1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536......etc.

 

As you can see, the value of the term exceeding 50,000 is 65,536. 

 Dec 26, 2020

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