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2 votes
When is a sequence geometric

When is a sequence geometric-example-1
User CPhil
by
7.8k points

2 Answers

3 votes

Answer:

when each term is multipled by the same number to get the next number

Explanation:


\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\(a_2)/(a_1)=(a_3)/(a_2)=(a_4)/(a_3)=...=(a_n)/(a_(n-1))=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_(n-1)r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}

User Massiel
by
6.8k points
5 votes

I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A

User Tom Burman
by
7.2k points
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