Find the common ratio of the sequence.
–4, 8, –16, 32, . . .
–2
–12
-1/-2
12
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Nnesha (nnesha):
to find common ratio divide next term by the previous one
\[\large\rm r=\frac{ a_2 }{ a_1}~~or~~\frac{ a_3 }{ a_2} \]a_2 = 2nd term
a_3 = 3rd term
OpenStudy (mckenzieandjesus):
wouldnt the next term be 36?
OpenStudy (mckenzieandjesus):
i'm getting -9 but thats not right..
Nnesha (nnesha):
ratio between two numbers
in geometric you will multiply the first by common ratio to get the nexxt one
other way to solve for r
is
first term times r = 2nd term
Nnesha (nnesha):
\[\huge\rm a_1 \times r = a_2\] what is first term and what is 2nd one ?
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Nnesha (nnesha):
aww i see
OpenStudy (mckenzieandjesus):
-4 and 36
Nnesha (nnesha):
i see what u did there
it's `common ratio` not common difference
Nnesha (nnesha):
now first one is -4 2nd term is what ?
Nnesha (nnesha):
1st term , 2nd term , 3rd, 4th term..........
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OpenStudy (mckenzieandjesus):
32?
Nnesha (nnesha):
2 comes after 1
so what's 2nd term in this sequence `–4, 8, –16, 32, . . .`
OpenStudy (mckenzieandjesus):
8
Nnesha (nnesha):
right so \[\huge\rm -4r=8\] solve for r
OpenStudy (mckenzieandjesus):
2?
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Nnesha (nnesha):
hmm positive 8 divide by `negative 4` = ?
OpenStudy (mckenzieandjesus):
-32
Nnesha (nnesha):
divide not multiply
OpenStudy (mckenzieandjesus):
ohh
OpenStudy (mckenzieandjesus):
-2!
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Nnesha (nnesha):
to find common ratio we should divide 2nd term by first one
or 3rd term divide by 2nd term
Nnesha (nnesha):
right yahoo!
OpenStudy (mckenzieandjesus):
so i gueesed the right answer then :) thanku
OpenStudy (mckenzieandjesus):
can u help me with another?
OpenStudy (mckenzieandjesus):
2, –10, 50, –250, . . .
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Nnesha (nnesha):
will try
Nnesha (nnesha):
find common ratio ?
OpenStudy (mckenzieandjesus):
yes
Nnesha (nnesha):
alright same steps try it!
Nnesha (nnesha):
divide any term with the previous one
you can divide 4th by 3rd one
3rd one by 2nd one
2nd one by first one