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    Why does the denominator at 0:38 have to be "x + 1"?

    Module 1 Day 2 Challenge Part 1
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    • debbieD
      debbie ADMIN M0★ M1 M5
      last edited by debbie

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      • debbieD
        debbie ADMIN M0★ M1 M5
        last edited by

        [Originally posted in Discussions]

        Why does the denominator at 6:24 have to be "x + 1"?

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        • debbieD
          debbie ADMIN M0★ M1 M5
          last edited by

          Hey there, thanks for asking such a good question! Let's take a look...

          We can start with what "x" is. Here is how it is defined.

          6ccd3814-25ba-4050-9cbc-7fe354c1b15f-image.png

          Now let's try and figure out what "x+1" is, by adding 1 to both sides.

          0836ee48-e700-45f6-8f3b-be8be34b36f1-image.png

          Wait a second, this looks a little familiar... where have we seen this before?

          Yes! It's just the denominator of the fraction! (remember the dots just mean the pattern keeps going)

          61be5a5c-713c-46ff-94ad-953ab67c5f5c-image.png

          So since what is in the blue box and "x+1" are the same thing, we can replace one with the other.

          18c448b4-3ae2-4e6c-93dd-90efe5bb4a50-image.png

          There you go! The denominator is just "x+1".

          I hope that answers your question. If you have any other questions or clarifications, just shoot us another email.

          Best,

          "The Daily Challenge Team

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