#### Geometric

```"""
Geometric Mean
Reference :  https://en.wikipedia.org/wiki/Geometric_mean

Geometric series
Reference: https://en.wikipedia.org/wiki/Geometric_series
"""

def is_geometric_series(series: list) -> bool:
"""
checking whether the input series is geometric series or not
>>> is_geometric_series([2, 4, 8])
True
>>> is_geometric_series([3, 6, 12, 24])
True
>>> is_geometric_series([1, 2, 3])
False
>>> is_geometric_series([0, 0, 3])
False
>>> is_geometric_series([])
Traceback (most recent call last):
...
ValueError: Input list must be a non empty list
>>> is_geometric_series(4)
Traceback (most recent call last):
...
ValueError: Input series is not valid, valid series - [2, 4, 8]
"""
if not isinstance(series, list):
raise ValueError("Input series is not valid, valid series - [2, 4, 8]")
if len(series) == 0:
raise ValueError("Input list must be a non empty list")
if len(series) == 1:
return True
try:
common_ratio = series / series
for index in range(len(series) - 1):
if series[index + 1] / series[index] != common_ratio:
return False
except ZeroDivisionError:
return False
return True

def geometric_mean(series: list) -> float:
"""
return the geometric mean of series

>>> geometric_mean([2, 4, 8])
3.9999999999999996
>>> geometric_mean([3, 6, 12, 24])
8.48528137423857
>>> geometric_mean([4, 8, 16])
7.999999999999999
>>> geometric_mean(4)
Traceback (most recent call last):
...
ValueError: Input series is not valid, valid series - [2, 4, 8]
>>> geometric_mean([1, 2, 3])
1.8171205928321397
>>> geometric_mean([0, 2, 3])
0.0
>>> geometric_mean([])
Traceback (most recent call last):
...
ValueError: Input list must be a non empty list

"""
if not isinstance(series, list):
raise ValueError("Input series is not valid, valid series - [2, 4, 8]")
if len(series) == 0:
raise ValueError("Input list must be a non empty list")
for value in series:  