Respuesta :

The first five terms of the geometric sequence is 6, 18, 54, 162 and 486

Geometric progression is given by:

[tex]nth\ term=ar^{n-1}[/tex]

where a is the first term, r is the common ratio

Given that first term is 6, and common ratio is 3, Hence a = 6, r = 3

[tex]First\ term=6\\\\Second \ term=6(3)^{2-1}=18\\\\Third \ term=6(3)^{3-1}=54\\\\Fourth \ term=6(3)^{4-1}=162\\\\Fifth \ term=6(3)^{5-1}=486[/tex]

The first five terms of the geometric sequence is 6, 18, 54, 162 and 486

Find out more on geometric sequence at: https://brainly.com/question/24355584