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Pascal’s Triangle

  • Page ID
    14971
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    The Pascal’s triangle is a graphical device used to predict the ratio of heights of lines in a split NMR peak. To construct the Pascal’s triangle, use the following procedure.

    Step 1: Draw a short, vertical line and write number one next to it.

    pascalstriangle1.png

    Step 2: Draw two vertical lines underneath it symmetrically.

    pascalstriangle2.png

    Step 3: Connect each of them to the line above using broken lines.

    pascalstriangle3.png

    Step 4: Each of the two lines is connected to the single line above, which carries the number one. Therefore, write number one next to each line.

    pascalstriangle4.png

    Step 5: Draw three vertical lines symmetrically underneath the two lines.

    pascalstriangle5.png

    Step 6: Connect each of them to the nearest line(s) above.

    pascalstriangle6.png

    Step 7: Each terminal line is connected to one line above, which carries the number one. Therefore, write number one next to each of them. The internal line is connected to two lines above, each carrying the number one. 1 + 1 = 2; write number two next to the internal line.

    pascalstriangle7.png

    Continue the process as far down as necessary.

    pascalstriangle8.png

    Contributors and Attributions


    This page titled Pascal’s Triangle is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Gamini Gunawardena.

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