Remember drawing lines on a number line, when you were first learning about numbers? Here's a twist on that (Salkind, 1952):
Suppose a line is $1$ inch long (exists between 0 and 1 on the x-axis of your number line). It grows
toward the right according to:
If this growth process goes on forever, how long will the line become? Your choices are:
What's your answer? (A-E)?
Now you try. You can't expand this to infinite terms on a computer, but you can take it to many terms, like 20, 50, or 100.
Determine what the sum appears to approach after 5-10 terms.
Type your code here:
See your results here:
First, try to see the pattern in the terms after the $1+$.
Next, if you can run a for-loop from 1 to some-number-of-terms (in
the variable, i, how could you work i (=1,2,3,4,5, etc.) into this pattern?
In the starter code above,
we're calling the changing denominator in the pattern d. Fix the d= line, then use it to program
in the formula after the sum=sum+ line to starting adding up the terms.
Show a friend, family member, or teacher what you've done!
Here is a share link to your code:
Does your code work? Want to run it on your iPhone?
Here's your code:
Use [Control]-[C] (Windows) or [⌘]-[C] (MacOS) to copy your code.
Paste it using [Control]-[V] (Windows) or [⌘]-[V] (MacOS) into
Then click the "Use on iPhone" button that you'll see.