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Mathematics 10 Online
OpenStudy (anonymous):

What is the 9th term of the geometric sequence 4, -20, 100, …? -312,500 -12,500 62,500 1,562,500

OpenStudy (alekos):

\[a _{n}=a _{1}r ^{n-1}\]

OpenStudy (alekos):

where n=9, a1=4 and I'll let you work out the common ratio r

OpenStudy (anonymous):

How do you find the common ratio?

OpenStudy (alekos):

just divide the second term by the first term or 3rd by the 2nd

OpenStudy (alekos):

thats the common ratio between terms

OpenStudy (anonymous):

Its it 5?

OpenStudy (anonymous):

Is the common ratio a 5?

OpenStudy (alekos):

No it's -20/4 = -5

OpenStudy (alekos):

now just plug the values into the equation

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