How to Find the X of a Geometric Sequence

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Finding the X of a geometric sequence is something that you can do with a very specific equation. Find the X of a geometric sequence with help from an experienced math professional in this free video clip.

Part of the Video Series: Solving Math Problems
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Video Transcript

Hi, I'm Ryan Ault. I'm a physicist and this is how to find the X of a geometric sequence. Now if you know you've been given a geometric sequence which can be 2, 4, 8, 16 ... You can find the X or the ratio of the multiplication amount by taking a higher level term at somewhat position plus 1 and dividing at a term in position n. In this example it is simply x= 4 divided by 2 which is equal to 2 and we find the geometric sequence is just 2, right the ration and we can get the 1 term by multiplying by 2. So 2 times 2 is 4, 4 times 2 is 8, 8 times 2 is 16. Now a more difficult one, a little bit more difficult is we could have 3, 9, 27 and we can apply the same formula X is equal to the higher term 9 divided by 3 which we find is 3 and likewise we can get from 1 term to the next by multiplying by 3, 3 times 3 is 9, 9 times 3 is 27 and we've simply found the geometric ratio for both problems by dividing the higher level term by the lower one. I'm Ryan Ault and this is how to find the X of a geometric sequence.


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