[DTube] What are Geometric Sequences?

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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 t_n = ar^n-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

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