Question

If the sum of 2^0 + 2^1 + 2^2 + ... + 2^k is at least 100000, then the smallest possible value of k is what?

Answer 1

\[2^0 + 2^1 + 2^2 + ... + 2^k = 2^{k+1}-1 \]

Answer 2

Well, 2^16 is 65536