How do you write the next three terms of the geometric sequence #-2, -12, -72, -432,...# and graph the sequence?

1 Answer
Dec 1, 2016

Answer:

The next three terms are:#" "-2592," "-15552," "-93312#

Explanation:

To determine the next three terms we have to study the given
#" "#
terms in this sequence and how it is calculated .
#" "#
#" "#
#a_0=-2#
#" "#
#a_1=-2 xx color(blue)(6^1)=-12#
#" "#
#a_2=-2 xx color(blue)(6^2)= -72#
#" "#
Therefore, #" "a_n=-2xxcolor(blue)(6^n)#
#" "#
What is #a_4=?, a_5" =?",a_6=?#
.#" "#
#a_4=-2xx6^4=-2xx1296=-2592#
#" "#
#a_5=-2xx6^5=-2xx7776=-15552#
#" "#
#a_6=-2xx6^6=-2xx46656=-93,312#
#""#
The geometric series is:
#" "#
#-2," "-12," "-72," "-432," "-2592," "-15552," "-93312#