Python实现生成多种有规律的数字序列

# 生成等差数列：1, 3, 5, 7, 9
arithmetic_sequence = list(range(1, 10, 2))
print(arithmetic_sequence)  # 输出：[1, 3, 5, 7, 9]

# 生成等差数列：2, 4, 6, 8, 10
arithmetic_sequence = [x for x in range(2, 11, 2)]
print(arithmetic_sequence)  # 输出：[2, 4, 6, 8, 10]

# 使用等差数列生成索引序列
for i in range(0, 10, 2):
    print(i)

import pandas as pd
time_series = pd.date_range(start='2022-01-01', periods=10, freq='D')
print(time_series)

# 生成等比数列：1, 2, 4, 8, 16
geometric_sequence = [2 ** i for i in range(5)]
print(geometric_sequence)  # 输出：[1, 2, 4, 8, 16]

# 计算复利投资增长
principal = 1000
interest_rate = 0.05
years = 5
investment_growth = [principal * (1 + interest_rate) ** year for year in range(years + 1)]
print(investment_growth)

# 生成斐波那契数列：0, 1, 1, 2, 3, 5, 8, 13, 21, 34
fibonacci_sequence = [0, 1] + [fibonacci_sequence[i-1] + fibonacci_sequence[i-2] for i in range(2, 10)]
print(fibonacci_sequence)  # 输出：[0, 1, 1, 2, 3, 5, 8, 13, 21, 34]

# 使用递归方式计算斐波那契数列
def fibonacci(n):
    if n <= 1:
        return n
    else:
        return fibonacci(n-1) + fibonacci(n-2)

for i in range(10):
    print(fibonacci(i))