Question

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

A 648, –1944, 5832
B 248, –616, 248
C 216, –648, 1944
D –648, 1944, –5832

Answer 1

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

Answer 2

Answer: D –648, 1944, –5832

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*216=-648`

Then term after -648 =
`a_6=-3*-648=1944`

Term after 1944=
`a_7=-3*1944=-5832`

Thus, D is the right answer. The next three terms of the sequence are –648, 1944, –5832