# Progression

-12, 60, -300,1500 need next 2 numbers of pattern

Result

a5 =  -7500
a6 =  37500

#### Solution:

$a_{1}=-12 \ \\ a_{2}=60 \ \\ k_{1}=a_{2}/a_{1}=60/(-12)=-5 \ \\ a_{3}=k_{1} \cdot \ a_{2}=(-5) \cdot \ 60=-300 \ \\ a_{4}=k_{1} \cdot \ a_{3}=(-5) \cdot \ (-300)=1500 \ \\ \ \\ a_{5}=a_{4} \cdot \ k_{1}=1500 \cdot \ (-5)=-7500$
$a_{6}=a_{5} \cdot \ k_{1}=(-7500) \cdot \ (-5)=37500$

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