Question 1028128
Let's use the first 4 days. Your uncle will have spent:
1+2+4+8=15
15+1=16=2^4
Similarly, for five days we have:
1+2+4+8+16=31
31+1=32=2^5
Generalizing, it is apparent that the sum of 2^0+2^1+2^2+....+2^n=2^n+1
If we want to spend 6 million dollars, then:
2^n+1=6000000
2^n=5999999
n, in this case, is somewhere between 2^22 and 2^23, so his money will last only until shortly after the 22nd day!!!!!!!!!!!!!