The first three terms of a geometric sequence are as follows. 6,-12,24. Find the next two terms of the sequence. Give exact values (not decimal approximations)

Question

sierra_grey · Answer

I know 6+(-12)=-18 and -18+36=24, but im not sure what number comes after

xapproachesinfinity · Answer

what do you think is the pattern here?

xapproachesinfinity · Answer

Oh no you went wrong in your step!
this  a geometric sequence, we are not adding

sierra_grey · Answer

im confused then, so i dont know what to do now.

xapproachesinfinity · Answer

from 6 to -12
what happened! remember in geometric sequence we multiply by a common number to get each term we call it common ratio
can you tell me what is that common ratio here

sierra_grey · Answer

-2?

xapproachesinfinity · Answer

correct!
sorry the website was slow

xapproachesinfinity · Answer

so now we know that each time we multiply by -2 to get the next term
all you need to do is multiply 24 by -2 to get the next term
then what you get multiply it by -2 to get the next term

xapproachesinfinity · Answer

Give exact values (not decimal approximations) this is just some stupid extra info that has nothing to do with the problem

sierra_grey · Answer

so -48 and positive 96

xapproachesinfinity · Answer

Correct!

sierra_grey · Answer

Cool, thank you!

xapproachesinfinity · Answer

yw!