Andy C. answered • 07/24/17

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Finally someone from the Orlando area!!!

The series is 2^(n-1) where n=1,2,3,4,...,62,63,64

We can adjust the index and write it as 2^n where n=0,1,2,3,4,...,61,62,63

The sum of the geometric series is:

a1 * (1 - r^n)

------------------

1-r

where r is the common ratio in this case 2,

a1 is the first term, in this case 1,

and n is the number of term, in this case 64

1 * (1 - 2^64)

---------------- = 18446744073709551615

1 - 2

Dividing that by 7000

That's 2635249153387078 pounds or 1317624576693.5 tons