Question

Find the next three terms of the sequence –8, 24, –72, 216, . . .

Answer 1

D –648, 1944, –5832
throught one, multiply by 9

Answer 2

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