What does this expression evaluate to? (define x (length (range 3000)))
Understand the Problem
The question is asking us to evaluate a specific expression written in a programming or functional language. The expression involves defining a variable 'x' as the length of a range of numbers from 0 to 2999, which needs to be computed.
Answer
$3000$
Answer for screen readers
The expression evaluates to $3000$.
Steps to Solve
-
Understanding the
rangefunction
The range(3000) function generates a list of numbers starting from 0 up to, but not including, 3000. Therefore, the output will be:
$$ \text{range(3000)} = [0, 1, 2, \ldots, 2999] $$
- Calculating the length
The length function calculates how many items are in the list generated by range(3000). Since the list contains all integers from 0 to 2999, the total number of integers is:
$$ \text{length(range(3000))} = 3000 $$
- Defining variable x
The entire expression, define x (length (range 3000)), assigns the result of length(range(3000)) to the variable x. Thus, we have:
$$ x = 3000 $$
The expression evaluates to $3000$.
More Information
In programming, range functions are commonly used to generate sequences of numbers. The evaluation of the length of that range provides the count of numbers generated.
Tips
- Miscounting the range: Remember that
range(n)goes from 0 to (n-1), sorange(3000)includes numbers from 0 to 2999, not 1 to 3000. - Forgetting to include all generated numbers in length calculations can lead to incorrect counts.
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