题目:有一分数序列:2/1,3/2,5/3,8/5,13/8,21/13...求出这个数列的前20项之和。
程序分析:请抓住分子与分母的变化规律。
程序源代码:
方法一:
实例
#!/usr/bin/python# -*- coding: UTF-8 -*- a = 2.0b = 1.0s = 0for n in range(1,21): s += a / b t = a a = a + b b = tprint (s)
方法二:
实例
#!/usr/bin/python# -*- coding: UTF-8 -*- a = 2.0b = 1.0s = 0.0for n in range(1,21): s += a / b b,a = a , a + bprint (s) s = 0.0for n in range(1,21): s += a / b b,a = a , a + bprint (s)
方法三:
实例(Python 2.x)
#!/usr/bin/python# -*- coding: UTF-8 -*- a = 2.0b = 1.0l = []l.append(a / b)for n in range(1,20): b,a = a,a + b l.append(a / b)print reduce(lambda x,y: x + y,l)
实例(Python 3.x)
#!/usr/bin/python from functools import reduce a = 2.0b = 1.0l = []l.append(a / b)for n in range(1,20): b,a = a,a + b l.append(a / b)print (reduce(lambda x,y: x + y,l))
以上实例输出结果为:
32.6602607986