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Mathematics 12 Online
OpenStudy (tester97):

Find the missing term of the geometric sequence. 3, _,12?

OpenStudy (tester97):

@hartnn @shamil98 @bibby help?

hartnn (hartnn):

since it is given that its a geometric series, the ratio between the terms is equal.

hartnn (hartnn):

so, you can say, \(\Large \dfrac{12}{x}=\dfrac{x}{3}\) find x from here.

OpenStudy (unklerhaukus):

[there are two solutions]

OpenStudy (tester97):

i got x=6

hartnn (hartnn):

ofcourse. one with positive common ratio and one with negative

hartnn (hartnn):

only x= 6 ? any other value ?

OpenStudy (tester97):

negative six?

OpenStudy (unklerhaukus):

good work!

OpenStudy (tester97):

So this?\[\pm6\]

hartnn (hartnn):

yes, both 3,6,12 and 3,-6,12 are valid

OpenStudy (tester97):

Thanks :)

hartnn (hartnn):

welcome ^_^

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