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snippets/python/s/geometric-progression.md

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+---
+title: Geometric progression
+type: snippet
+language: python
+tags: [math,list]
+cover: kettle-laptop
+excerpt: Initializes a list containing the numbers in the specified geometric progression range.
+dateModified: 2020-11-02T19:28:05+02:00
+---
+
+Initializes a list containing the numbers in the specified range where `start` and `end` are inclusive and the ratio between two terms is `step`.
+
+- Use `range()`, `math.log()` and `math.floor()` and a list comprehension to create a list of the appropriate length, applying the step for each element.
+- Returns an error if `step` equals `1`.
+- Omit the second argument, `start`, to use a default value of `1`.
+- Omit the third argument, `step`, to use a default value of `2`.
+
+```py
+from math import floor, log
+
+def geometric_progression(end, start=1, step=2):
+  return [start * step ** i for i in range(floor(log(end / start)
+          / log(step)) + 1)]
+```
+
+```py
+geometric_progression(256) # [1, 2, 4, 8, 16, 32, 64, 128, 256]
+geometric_progression(256, 3) # [3, 6, 12, 24, 48, 96, 192]
+geometric_progression(256, 1, 4) # [1, 4, 16, 64, 256]
+```