生成一个序列，其中数字之间的差距增加

def generate_sequence(start, initial_diff, increment):
    sequence = []
    current_value = start
    diff = initial_diff
    for _ in range(10):  # 生成10个元素的序列
        sequence.append(current_value)
        current_value += diff
        diff += increment
    return sequence

# 生成序列，起始值为1，初始差值为1，差值增量为2
print(generate_sequence(1, 1, 2))

def generate_geometric_sequence(start, ratio, increment):
    sequence = []
    current_value = start
    ratio_increment = 1 + increment
    for _ in range(10):  # 生成10个元素的序列
        sequence.append(current_value)
        current_value *= ratio
        ratio *= ratio_increment
    return sequence

# 生成序列，起始值为1，初始比率为2，比率增量为0.1
print(generate_geometric_sequence(1, 2, 0.1))

def custom_sequence_generator(n, start, func):
    sequence = []
    current_value = start
    for i in range(n):
        sequence.append(current_value)
        current_value = func(current_value, i)
    return sequence

# 定义一个函数，使得每个数字是前一个数字加上其索引的平方
def custom_func(current_value, index):
    return current_value + index**2

# 生成序列，起始值为1，长度为10
print(custom_sequence_generator(10, 1, custom_func))