Coding up a recursive sequence

The logistic recursive sequence is defined as

• s_1 = \alpha
• s_2 = ws_1 - ws_1^2
• s_3 = ws_2 - ws_2^2
• s_4 = ws_3 - ws_3^2
• \cdots

Exercise

Do this in your own coding environment. Generate and plot the first 50 elements of this sequence when the following values are used:

• s_1 = 0.5, w=1
• s_1 = 0.5, w=3
• s_1 = 0.0001, w=4.

Your plots should look as follows. Feel free to try other values, and see how the recursive sequence looks!