The campaign
A military venture gained 10 miles of territory on day 1, 9 on day 2, 8.1 on day 3, etc.
If they continued gaining ground at this rate indefinitely, every day gaining 0.9 times the amount on the previous day, and the campaign lasted forever, how much territory in miles will they eventually conquer?
The answer is 100.
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1 solution
By geometric progression formula, total amount= 10 * (1/(1 - 0.9)) = 10 * 10 = 100 miles