$$\begin{gathered} \mathbf{for} i \mathbf{from} 1 \mathbf{to} n \mathbf{do} \\ \sin \left(\frac{\mathrm{\π}}{2}\cdot i\right) \\ \mathbf{end} \mathbf{do}\; \end{gathered}$$

Error, final value in for loop must be numeric or character

$n≔4$

$n:=4$

$$\begin{gathered} \mathbf{for} i \mathbf{from} 1 \mathbf{to} n \mathbf{do} \\ \sin \left(\frac{\mathrm{\pi }}{2}\cdot i\right) \\ \mathbf{end} \mathbf{do}\; \end{gathered}$$

$1$

$0$

$-1$

$0$

$$\begin{gathered} G≔\mathbf{proc}\left(x\right) \\ \mathbf{local} i≔1\; \\ \mathbf{to} x \mathbf{do} \\ i≔i\cdot x \\ \mathbf{end} \mathbf{do} \\ \mathbf{end} \mathbf{proc}\: \end{gathered}$$

$G\left(13-j\right)$

Error, (in G) final value in for loop must be numeric or character

$j≔7$

$j:=7$

$G\left(13-j\right)$

$46656$

$$\begin{gathered} \mathbf{for} n \mathbf{to} N-1 \mathbf{do} \\ x\left[n\+1\right] ≔ x\left[n\right]\+\mathrm{\Δx}\left(n\right)\; y\left[n\+1\right] ≔ y\left[n\right]\+\mathrm{\Δy}\left(n\right) \\ \mathbf{end} \mathbf{do}\; \end{gathered}$$

Error, final value in for loop must be numeric or character

$N≔5$

$N:=5$

$$\begin{gathered} \mathbf{for} n \mathbf{to} N-1 \mathbf{do} \\ x\left[n\+1\right] ≔ x\left[n\right]\+\mathrm{\Δx}\left(n\right)\; y\left[n\+1\right] ≔ y\left[n\right]\+\mathrm{\Δy}\left(n\right) \\ \mathbf{end} \mathbf{do}\; \end{gathered}$$

$x_2:=x_1\+\mathrm{\Δx}\left(1\right)$

$y_2:=y_1\+\mathrm{\Δy}\left(1\right)$

$x_3:=x_1\+\mathrm{\Δx}\left(1\right)\+\mathrm{\Δx}\left(2\right)$

$y_3:=y_1\+\mathrm{\Δy}\left(1\right)\+\mathrm{\Δy}\left(2\right)$

$x_4:=x_1\+\mathrm{\Δx}\left(1\right)\+\mathrm{\Δx}\left(2\right)\+\mathrm{\Δx}\left(3\right)$

$y_4:=y_1\+\mathrm{\Δy}\left(1\right)\+\mathrm{\Δy}\left(2\right)\+\mathrm{\Δy}\left(3\right)$

$x_5:=x_1\+\mathrm{\Δx}\left(1\right)\+\mathrm{\Δx}\left(2\right)\+\mathrm{\Δx}\left(3\right)\+\mathrm{\Δx}\left(4\right)$

$y_5:=y_1\+\mathrm{\Δy}\left(1\right)\+\mathrm{\Δy}\left(2\right)\+\mathrm{\Δy}\left(3\right)\+\mathrm{\Δy}\left(4\right)$