Consider the sequences given in the table below. Find the least number, n, such that the nth term of the geometric sequence is greater than the corresponding term in the arithmetic sequence.

Find the 100th and the nth term for each of the following sequences.
a. 1, 8, 15, 22, ...
b. 50, 90, 130, ...
c. 1, 4, 16, ...
d. 6, 6 to the 4th power, 6 to the 7th power, 6 to the 10th power, ...
e. 185 + 6 * 3 to the 33rd power, 185 + 7 * 3 to the 33rd power, 185 + 8 * 3 to the 33rd power, ...