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as some examples of dark patterns and putting them into equation rather than an equation for that pattern or as a recursive function mm-hmm so at time zero we have three dots time one may be up to one minute or one second or something we have five and then after three whoops it makes that a - sorry then that would be one two three four five six seven well you can see that its just adding on to new dots each time so I need to come up with a way that increases by 2 each time so the number of dots is equal to 2 times the time how many do we have to start with it pansy no we had three so lets plug in a tree and see if we get seven so two parenthesis 2 plus 3 is 4 plus 3 that gives us 7 so as a recursive function we could say f of 0 equals 3 and F of M equals F of how we can even call it f of T I guess close F of T minus 1 plus 2 Im adding to each time a star network three dots then I have 9 and then I have I see a head of a group of 3 theyre a group of 3 their group of 3 there theres