Scheme编程语言中计算以下系列所需的递归函数是什么? [英] What is the required recursive function(s) in Scheme programming language to compute the following series?

问题描述

Scheme 编程语言中计算以下系列所需的递归函数是什么??需要说明

what is the required recursive function(s) in Scheme programming language to compute the following series?? Explanation needed

1^2/2^1 + 3^4/4^3 + 5^6/6^5 + 7^8/8^7 + 9^10/10^9

1^2/2^1 + 3^4/4^3 + 5^6/6^5 + 7^8/8^7 + 9^10/10^9

推荐答案

//power function
(define (power a b)
     (if (zero? b) //base case
      1    
     (* a (power a (- b 1))))) //or return power of a,b

// sum function for series

    (define (sum n)
     (if (< n 3) //base case 
         0.5
       (+ (/  (power (- n 1) n) (power n (- n 1))) (sum (- n 2 ))  ))) //recursion call

>(sum 10) // call sum function here .

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