Instead of adding 101 numbers, we see that after prestige n, prestige n+1 costs 524,288,000 more dollars every single time. Therefore, the sum of all 101 terms of this arithmetic sequence will be 101 * (a1 + a101) / 2 = 101 * (2621440000 + 55050140000) / 2 = 2912414790000.
Therefore, it will...