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Mathematics 13 Online
OpenStudy (anonymous):

What is the 6th term of the geometric sequence where a1 = 128 and a3 = 8? 0.03125 0.0625 0.125 0.15625

OpenStudy (anonymous):

anybody know what the equation is

OpenStudy (cj49):

a1 is the first term ryt

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

well a1 = 128, yes

OpenStudy (cj49):

do u know the total number of terms

OpenStudy (anonymous):

6 i guess because that is what we are trying to find

OpenStudy (cj49):

\[ar ^{n-1}\]

OpenStudy (anonymous):

ok.so our n is 6? or is it just n because thats what we are trying to find.

OpenStudy (cj49):

we are trying to find out r the common difference

OpenStudy (anonymous):

would we plug in the info from what we already know to a and n?

OpenStudy (cj49):

just a min

OpenStudy (cj49):

\[a ^{3}=a1xr ^{2}\]

OpenStudy (cj49):

substitute the values of a3 and a1 to find r

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (anonymous):

i did as this guy said and got 1/4 converted to decimal is.25 but that is not an aswer choice

OpenStudy (cj49):

r=1/4 128,32,8,2,0.5,0.125

OpenStudy (cj49):

the ans is 0.125

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