SOLUTION: 1+2+4+8+16+32+...+65,536 Find the sum of each sequence of numbers. Help?

Question 843411: 1+2+4+8+16+32+...+65,536 Find the sum of each sequence of numbers. Help?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
That is a geometric series,
the sum of the first 17 terms of the form
,
because .
That sum is and
, so

NOTE:
Your teacher/instructor may insist on seeing formulas, such as
, or .
Humoring teachers and bosses may be essential to survival,
but I do not believe math is about memorizing.
Remembering ideas that led others to a way to calculate results is OK.
That way we do not have to rediscover gunpowder every time,
but I refuse to memorize.
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