Chapter 5 - Sequences, Mathematical Induction, and Recursion - Exercise Set 5.6 - Page 302: 3

${ c _ { 0 } = 1 } \\ { c _ { 2 } = 2 } \\ { c _ { 3 } = 12 }$

\begin{array} { l } { c _ { 0 } = 1 , c _ { 1 } = 1 \cdot \left( c _ { 0 } \right) ^ { 2 } = 1 \cdot ( 1 ) ^ { 2 } = 1 } \\ { c _ { 2 } = 2 \left( c _ { 1 } \right) ^ { 2 } = 2 \cdot ( 1 ) ^ { 2 } = 2 } \\ { c _ { 3 } = 3 \left( c _ { 2 } \right) ^ { 2 } = 3 \cdot ( 2 ) ^ { 2 } = 12 } \end{array}