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 \(a_n=-3a_{n-1}\)
therefore, the term after 216= \(a_5=-3a_4=-3\times216=-648\)
Then term after -648 =\(a_6=-3\times-648=1944\)
Term after 1944= \(a_7=-3\times1944=-5832\)
Thus, D is the right answer. The next three terms of the sequence are –648, 1944, –5832
