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OpenStudy (anonymous):
What is the 6th term of the geometric sequence where a1 = 625 and a2 = -125?
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OpenStudy (anonymous):
these is a result of using \[a_n=a_1r^{n-1}\]
OpenStudy (anonymous):
\[a_6=a_1r^5=625r^5\] so for r we use\[a_2=a_1r^{2-1}=625r=-125\] so now solve for r then place back in a_6 equation
OpenStudy (anonymous):
r=-125/625=-1/5 \[a_6=625r^5=625(-1/5)^5\]
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