Answer:
That's 2635249153387078 pounds or 1317624576693.5 tons
Step-by-step explanation:
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
Hope this helped!
