Answer: D –648, 1944, –5832
Step-by-step explanation:
Given sequence: –8, 24, –72, 216, . . .
Here we can see that the next term is -3 times the previous term.
Such that [tex]a_n=-3a_{n-1}[/tex]
therefore, the term after 216= [tex]a_5=-3a_4=-3\times216=-648[/tex]
Then term after -648 =[tex]a_6=-3\times-648=1944[/tex]
Term after 1944= [tex]a_7=-3\times1944=-5832[/tex]
Thus, D is the right answer. The next three terms of the sequence are –648, 1944, –5832
