What is the common ratio of the geometric sequence: 128, -16,2,-1/4
-8
1/8
8
-1/8
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Nnesha (nnesha):
: geometric sequence ,to find common ratio \[\large\rm \color{red}{r =\frac{ a_2 }{ a_1} ~~or~~
\frac{ a_4 }{ a_3 }}\] divide any term by previous one
:-)
OpenStudy (anonymous):
I got-8 is it right?
OpenStudy (mathmath333):
no
Nnesha (nnesha):
how did you get -8 ?
OpenStudy (anonymous):
I divided 128 by -16
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Nnesha (nnesha):
divide any term with the `previous ` one
a_2 = 2nd term over a_1 = first term
divide 2nd term by first one or 3rd term by 2nd one
OpenStudy (anonymous):
I don't get that
Nnesha (nnesha):
|dw:1444250059885:dw|
here is an example
\[4,8,16\] i would divide 8 by 4 to get ratio
not 4 by 8
OpenStudy (anonymous):
so the answer is 1/8
Nnesha (nnesha):
well 2nd term is -16 and first one is 128 \[\frac{ -16 }{ 128 }= ??\]
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OpenStudy (anonymous):
0.125
Nnesha (nnesha):
keep it in fraction focus on sign
negative divide by positive = ?
OpenStudy (anonymous):
a negative
Nnesha (nnesha):
right so -16/128 = ?
OpenStudy (anonymous):
-1/8
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