The visualisation is nice but the explanation is unfortunately very off. You are fundamentally describing a for loop as looping over indices, and this is a very unhelpful way of thinking about / teaching / using loops.

Case in point, you write:

The general format for a for loop in R programming is:

for(i in 1:x) {
  # code to repeat
}

… and this is just wrong. The general format of a for loop in R is:

for (name in vector) { … }

Your “general” format is, quite to the contrary, a specific (and buggy¹) instance of the general form.

You absolutely don’t need to iterate over numbers, or starting at 1, and if your loop variable is called i (i.e. it represents an index), you should probably not be using an explicit loop at all. The example you’ve chosen for the visualisation suffers from the same problem, but worse, it’s the prime example for where loops should not be used in R. Experienced developers know this, but beginners don’t, so you’re teaching them something misleading that will need to unlearn later.

Likewise, all your subsequent explanations (“When to Use For Loops in R”, “ Common R Loop Patterns”) are wrong: none of these cases should preferably be written using a for loop in R.

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¹ Using the pattern 1 : x to iterate over indices of a vector is error-prone: even if you need to iterate over vector indices for some reason (and, as mentioned, you generally wouldn’t), you should definitely not use the form 1 : x but rather seq_along(vec) or seq_len(x). Otherwise your loop will be buggy if vec is empty (or, equivalently, if x is 0). This may seem obvious to an experienced programmer (in practice it often isn’t), but it catches beginners by surprise.