Question

Find the ${13}^{th}$ and ${16}^{th}$ terms of the sequence defined by
$b_n=\{\begin{array}{cc}{n}^2,& ifnϵN\text{and n is even}\\ n(n+2),& ifnϵN\text{and n is odd.}\end{array}$

Answer 1

$n=13=odd{b}_{113}=13(13+2)=13\times 15=195n=16=even{b}_{16}={16}^2=256$