start
and end
are inclusive and the ratio between two terms is step
.
Returns an error if step
equals 1
.range()
, math.log()
and math.floor()
and a list comprehension to create a list of the appropriate length, applying the step for each element.start
, to use a default value of 1
.step
, to use a default value of 2
.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)]
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]
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