Pattern Problem #2

The series is : $1^{\frac{5}{2}}$ , $1^{\frac{5}{2}}$ , $2^{\frac{5}{2}}$ , $3^{\frac{5}{2}}$ and so on

Hence the final term is $9^{\frac{5}{2}}$ = $3^{5 }= 243$

The series uses the following formula:

(n^2) * \sqrt{n}

Therefore, 1^2 * \sqrt{1} = 1 ... 9^2 * \sqrt{9} = 243

A hint in this is that all numbers that have whole square roots have whole answers (1, 1, 1. 2, 4, 16)