Python Challenges: Check a sequence of numbers is a geometric progression or not
Write a Python program to check a sequence of numbers is a geometric progression or not.
In mathematics, a geometric progression or geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly, 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.
Explanation:
Sample Solution:-
Python Code:
def is_geometric(li):
if len(li) <= 1:
return True
# Calculate ratio
ratio = li[1]/float(li[0])
# Check the ratio of the remaining
for i in range(1, len(li)):
if li[i]/float(li[i-1]) != ratio:
return False
return True
print(is_geometric([2, 6, 18, 54]))
print(is_geometric([10, 5, 2.5, 1.25]))
print(is_geometric([5, 8, 9, 11]))
Sample Output:
True True False
Flowchart:
Python Code Editor:
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