[DTube] Geometric Sequences: The Geometric Mean

masterwu (59)in #dtube • 6 years ago (edited)

In this video, we take looking into the Geometric Mean, which is simply the middle term of 2 successive terms of a Geometric Sequence.

We derive the formula for expressing the geometric mean:

t_n^2 = t_(n-1) * t_(n+1)

Which is, the middle term squared is the product of the two outer terms.

We then use this formula to work through the problem where we have to find the value of x in the sequence:

{x - 1, 3x + 4, 6x +8, ... }

that would satisfy a geometric progression

Sequences & Series

Geometric Sequences: Find the 4th term given the 7th term
Geometric Sequences: Find the first term and common ratio
Geometric Sequences: The Geometric Mean

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.

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6 years ago in #dtube by masterwu (59)

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steemstem (73) 6 years ago

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