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Math Help - Powers of 2

  1. #1
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    Powers of 2

    1. Find a series of consecutive integers such that the sum of the series is a power of 2.


    2. If every term in a sequence S is defined by the sum of every item before it, give a formula for the nth term.

    If I start with the first 2 terms being 1, then the next ones are just powers of 2 aren't they?
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  2. #2
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    The first question

    This seems to work:

    (2) + 2 + 4 + 8 + 16 + 32 +...= powers of two, the only question is how to translate this into a formula.
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  3. #3
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    Does this answer the second question?

    n(n + 1)/2
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