# Geometric sequences

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##### Examples

###### Lessons

**Geometric sequence formula**

Consider the geometric sequence: 2, 6, 18, 54, … .- Determine $t_1,r,t_n$ for the sequences in which two terms are given:

$t_3=18$, $t_6=486$ - Three consecutive terms of a geometric sequence are written in the form

$5(x+2),8-x,x-2$

Find the common ratio and the possible value of each of the three terms.