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Python: Geometric progression

Python List: Exercise - 244 with Solution

Write a Python program to initialize a list containing the numbers in the specified range where start and end are inclusive and the ratio between two terms is step. Returns an error if step equals 1.

  • 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.
  • Omit the second argument, start, to use a default value of 1.
  • Omit the third argument, step, to use a default value of 2.

Sample Solution:

Python Code:

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)] 
print(geometric_progression(256))
print(geometric_progression(256, 3))
print(geometric_progression(256, 1, 4))

Sample Output:

[1, 2, 4, 8, 16, 32, 64, 128, 256]
[3, 6, 12, 24, 48, 96, 192]
[1, 4, 16, 64, 256]

Flowchart:

Flowchart: Geometric progression.

Visualize Python code execution:

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Python Code Editor:

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Previous: Write a Python program to check if a given function returns True for every element in a list.
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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m