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Worked Examples · Example 3.13

Q.
list(range(10))
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
#start value is given as 2
list(range(2, 10))
[2, 3, 4, 5, 6, 7, 8, 9]
#step value is 5 and start value is 0
list(range(0, 30, 5))
[0, 5, 10, 15, 20, 25]
#step value is -1. Hence, decreasing
#sequence is generated
list(range(0, -9, -1))
[0, -1, -2, -3, -4, -5, -6, -7, -8]

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The range() function generates arithmetic sequences; list(range(...)) materializes them as lists with start (inclusive), stop (exclusive), and step parameters.

Why range() matters

Python's range() is the standard tool for generating integer sequences. It takes up to three arguments: range(start, stop, step). Understanding how these parameters interact is essential for loops, list generation, and any task requiring a predictable numeric progression.

The key insight: range() is half-open on the right. It includes start but excludes stop. The sequence increments by step until it would meet or exceed stop (for positive step) or fall below it (for negative step).

Parameter rules

FormMeaningExample
range(stop)Start at 0, step by 1, stop before stoprange(10) → 0, 1, …, 9
range(start, stop)Begin at start, step by 1, stop before stoprange(2, 10) → 2, 3, …, 9
range(start, stop, step)Begin at start, increment by step, stop before crossing stoprange(0, 30, 5) → 0, 5, 10, 15, 20, 25

When step is negative, the sequence decreases. The stop condition reverses: generation continues while the current value is greater than stop.

Trace of the given examples

Example 1: list(range(10))

  • Only stop is given → start defaults to 0, step defaults to 1.
  • Sequence: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 (stops before 10).

Example 2: list(range(2, 10))

  • start = 2, stop = 10, step defaults to 1.
  • Sequence: 2, 3, 4, 5, 6, 7, 8, 9 (stops before 10).

Example 3: list(range(0, 30, 5))

  • start = 0, stop = 30, step = 5.
  • Sequence: 0, 5, 10, 15, 20, 25 (next would be 30, which equals stop → excluded).

Example 4: list(range(0, -9, -1))

  • start = 0, stop = -9, step = -1.
  • Decreasing sequence: 0, -1, -2, -3, -4, -5, -6, -7, -8 (next would be -9, which equals stop → excluded).
Watch out

A common mistake: expecting range(10) to include 10. It does not. The upper bound is always exclusive. If you need 1 through 10, write range(1, 11). …

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