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Mathematics 53 Online
OpenStudy (sierra_grey):

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)

OpenStudy (sierra_grey):

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

OpenStudy (xapproachesinfinity):

what do you think is the pattern here?

OpenStudy (xapproachesinfinity):

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

OpenStudy (sierra_grey):

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

OpenStudy (xapproachesinfinity):

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

OpenStudy (sierra_grey):

-2?

OpenStudy (xapproachesinfinity):

correct! sorry the website was slow

OpenStudy (xapproachesinfinity):

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

OpenStudy (xapproachesinfinity):

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

OpenStudy (sierra_grey):

so -48 and positive 96

OpenStudy (xapproachesinfinity):

Correct!

OpenStudy (sierra_grey):

Cool, thank you!

OpenStudy (xapproachesinfinity):

yw!

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