1 12687dd9 2023-08-04 jrmu ;; The first three lines of this file were inserted by DrScheme. They record metadata
 2 12687dd9 2023-08-04 jrmu ;; about the language level of this file in a form that our tools can easily process.
 3 12687dd9 2023-08-04 jrmu #reader(lib "htdp-intermediate-reader.ss" "lang")((modname |23.1|) (read-case-sensitive #t) (teachpacks ((lib "draw.ss" "teachpack" "htdp") (lib "arrow.ss" "teachpack" "htdp") (lib "gui.ss" "teachpack" "htdp"))) (htdp-settings #(#t constructor repeating-decimal #f #t none #f ((lib "draw.ss" "teachpack" "htdp") (lib "arrow.ss" "teachpack" "htdp") (lib "gui.ss" "teachpack" "htdp")))))
 4 12687dd9 2023-08-04 jrmu ;; make-even : N  ->  N[even]
 5 12687dd9 2023-08-04 jrmu ;; to compute the i-th even number
 6 12687dd9 2023-08-04 jrmu (define (make-even i)
 7 12687dd9 2023-08-04 jrmu   (* 2 i))         	
 8 12687dd9 2023-08-04 jrmu 
 9 12687dd9 2023-08-04 jrmu ;; make-odd : N  ->  N[odd]
10 12687dd9 2023-08-04 jrmu ;; to compute the i-th odd number
11 12687dd9 2023-08-04 jrmu (define (make-odd i)
12 12687dd9 2023-08-04 jrmu   (+ (* 2 i) 1))
13 12687dd9 2023-08-04 jrmu 
14 12687dd9 2023-08-04 jrmu ;; series : N (N  ->  number)  ->  number
15 12687dd9 2023-08-04 jrmu ;; to sum up the first n numbers in the sequence a-term,
16 12687dd9 2023-08-04 jrmu (define (series n a-term)
17 12687dd9 2023-08-04 jrmu   (cond
18 12687dd9 2023-08-04 jrmu     [(= n 0) (a-term n)]
19 12687dd9 2023-08-04 jrmu     [else (+ (a-term n)
20 12687dd9 2023-08-04 jrmu 	     (series (- n 1) a-term))]))
21 12687dd9 2023-08-04 jrmu 
22 12687dd9 2023-08-04 jrmu ;; series-even1 : N  ->  number
23 12687dd9 2023-08-04 jrmu (define (series-even1 n)
24 12687dd9 2023-08-04 jrmu   (series n make-even))	 	
25 12687dd9 2023-08-04 jrmu 
26 12687dd9 2023-08-04 jrmu ;; series-odd1 : N  ->  number
27 12687dd9 2023-08-04 jrmu (define (series-odd1 n)
28 12687dd9 2023-08-04 jrmu   (series n make-odd))
29 12687dd9 2023-08-04 jrmu