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What are Geometric Sequences?
in Mathematics by Diamond (61,682 points) | 6 views

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A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Example:

\[2;4;8;16;32;...\]

The constant ratio, $r=2$ - the number that every term is being multiplied so as to get the next term.

Basically,

\[ \dfrac{a_{n+1}}{a_n}=\dfrac{a_{n+2}}{a_{n+1}} = r\]

in this case:

\[ \dfrac{4}{2}=\dfrac{8}{4} =  ... = 2 \]

 

by Diamond (61,682 points)

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