Iteration

The sum procedure above generates a linear recursion. The procedure can be rewritten so that the sum is performed iteratively. Show how to do this by filling in the missing expressions in the following definition:

(define (sum term a next b)
  (define (iter a result)
    (if <??>
        <??>
        (iter <??> <??>)))
(iter <??> <??>))

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(define (inc n) (+ n 1))

(define (cube x) (* x x x))

(define (identity x) x)

(check-equal? (sum cube 0 inc 2) 9)
(check-equal? (sum cube 1 inc 10) 3025)
(check-equal? (sum identity 1 inc 10) 55)