用Python编制程序:有一分数序列:2,3/2,5/3,8/5,13/8,...,输出其前30项并求和,请把代码填入框内。
时间: 2023-11-02 20:05:28 浏览: 38
a, b = 2, 3
sum = a + b
print(a, end=",")
for i in range(1, 30):
a, b = b, a + b
sum += b / a
print("{}/{}".format(b, a), end=",")
print("\nSum:", sum)
相关问题
python编制程序:有一分数序列:2,3/2,5/3,8/5,13/ 8,... ,输出其前30项并求和
# 初始化前两项
a = 2
b = 3
sum = a + b
# 输出前两项
print("1:", a)
print("2:", b)
# 循环输出后28项并求和
for i in range(3, 31):
c = a + b
a = b
b = c
sum += b / a
print(i, ":", b / a)
# 输出总和
print("sum:", sum)
编制程序:有一分数序列:2,3/2,5/3,8/5,13/8,...,输出其前30项并求和python
编写程序来输出并求和分数序列的前30项可以使用循环和分数运算的库。以下是一个示例程序:
```python
from fractions import Fraction
def generate_fraction_sequence(n):
sequence = [Fraction(2, 1)]
a, b = 2, 1
for _ in range(n-1):
a, b = a + b, a
sequence.append(Fraction(a, b))
return sequence
def sum_fraction_sequence(sequence):
total = sum(sequence)
return total
# 输出前30项
sequence = generate_fraction_sequence(30)
for fraction in sequence:
print(fraction)
# 求和
total = sum_fraction_sequence(sequence)
print("总和:", total)
```
这个程序使用`fractions`库中的`Fraction`类来处理分数。`generate_fraction_sequence`函数生成分数序列,`sum_fraction_sequence`函数计算序列的总和。最后,我们使用循环打印出前30项,并输出总和。