Find the indicated term of the Fibonacci sequence \( 13^{\text {th }} \) term

The Fibonacci sequence is defined as follows: - \( F(0) = 0 \) - \( F(1) = 1 \) - For \( n \geq 2 \), \( F(n) = F(n-1) + F(n-2) \) To find the \( 13^{\text{th}} \) term, we can calculate the Fibonacci numbers up to \( F(13) \): \[ \begin{align*} F(0) & = 0 \\ F(1) & = 1 \\ F(2) & = F(1) + F(0) = 1 + 0 = 1 \\ F(3) & = F(2) + F(1) = 1 + 1 = 2 \\ F(4) & = F(3) + F(2) = 2 + 1 = 3 \\ F(5) & = F(4) + F(3) = 3 + 2 = 5 \\ F(6) & = F(5) + F(4) = 5 + 3 = 8 \\ F(7) & = F(6) + F(5) = 8 + 5 = 13 \\ F(8) & = F(7) + F(6) = 13 + 8 = 21 \\ F(9) & = F(8) + F(7) = 21 + 13 = 34 \\ F(10) & = F(9) + F(8) = 34 + 21 = 55 \\ F(11) & = F(10) + F(9) = 55 + 34 = 89 \\ F(12) & = F(11) + F(10) = 89 + 55 = 144 \\ F(13) & = F(12) + F(11) = 144 + 89 = 233 \\ \end{align*} \] Thus, the \( 13^{\text{th}} \) term of the Fibonacci sequence is \( \boxed{233} \).