[DTube] What are Geometric Sequences?steemCreated with Sketch.

in #dtube5 years ago (edited)


I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

In this video, I introduce the concept of geometric sequences.

Let's take for example the sequence of numbers: {2, 6, 18, 54, 162, 486, ... }

Notice that the numbers after 2 can be express as follows:

t1: 2 x 3 = 6
t2: 2 x 3 x 3 = 18
t3: 2 x 3 x 3 x 3 = 54
t4: 2 x 3 x 3 x 3 x 3 = 162
t5: 2 x 3 x 3 x 3 x 3 x 3 = 486

Thus the nth term of the sequence can be determined by the formula tn = arn-1 where a is called the scale factor and r is called the common ratio.


Sequences & Series

  1. What are Geometric Sequences?
  2. Geometric Sequences: Find the 4th term given the 7th term
  3. Geometric Sequences: Find the first term and common ratio
  4. 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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