![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The list is 2, 6, 18, 54, 162, ...
\Observe the pattern; the consecutive numbers are multiplied by 3.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=36159638c3fe80747eb663535376247f.png\")
![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
Let n be the next term.
\Write an equation for the situation.
\Previous term x 3 = Next term.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5de7cd8bb765aeaf8439419f14c342e0.png\")
(Substitute previous term = 162 and next term = n)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=11e0e8b800a04ddb8429209a155c54e6.png\")
(Multiply: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e2d3cb1150c7e515cbca5c35de9c938f.png\")
)
The extended pattern is
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8d64154ca140ce778211501a51bbf122.png\")
The next term in the given list is 486.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The next term in the given list is 486.
\