What is fourth proportional to 3,9,21?
A- 63
B- 27
C- 81
D- 54
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OpenStudy (♪chibiterasu):
This is a geometric sequence. We can divide one of the values by the one before it.
i.e. 21 and 9.
21/9 = 3
Each term is increasing by a factor of 3.
3*3 = 9
9*3 = 21
So what is 21*3?
OpenStudy (anonymous):
9*3=27
OpenStudy (♪chibiterasu):
Hm.
OpenStudy (♪chibiterasu):
Does the question look like this?
3;9 = 21;x
OpenStudy (♪chibiterasu):
Or just like
3;9;21;x
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OpenStudy (anonymous):
3,9,21,? like this
OpenStudy (♪chibiterasu):
Nevermind. We just "cross-multiply"
3;9;21;x
3x = 21(9)
3x = 189
3x/3 = 189/3
x = ?
OpenStudy (♪chibiterasu):
Yeah I thought this was a geometric sequence, I was wrong. Hehe. ^That should be the right way to do it even though I came out with the same thing.
OpenStudy (anonymous):
i think
3*2=6
6+3=9
second is
9*2=18
18+3=21
tried is not their options
21*2=42
42+3=45
OpenStudy (anonymous):
45 is not right
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OpenStudy (♪chibiterasu):
Where did you get all that from?
OpenStudy (anonymous):
in ps exam books?
OpenStudy (usukidoll):
I know this doesn't show up in higher level math , so that's a good sign