Chapter 1.9, Problem 28E

Writing numbers in exponent form can often help us identify a pattern in a sequence of numbers. For example, the sequence $1,\text{ 8},27,64,125,\mathrm{...}$ can be written as $1^3,2^3,3^3,4^3,5^3,\mathrm{...}$ and we see that the next number would be $6^3$ or 216. Identify a pattern and then find the next number in the following sequences.

$4,16,36,64,100,\mathrm{...}$