SOLUTION: what is the common ratio of 1^2,2^2,3^2?

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Question 716610: what is the common ratio of 1^2,2^2,3^2?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There is no common ratio.
That sequence is not a geometric sequence/progression.
2%5E2%2F1%5E2=4%2F1=4
3%5E2%2F2%5E2=9%2F4%3C%3E4
It is not the same ratio.
Those ratios have nothing in common.
The sequence 1^2, 2^2, 3^2, ...
can be thought of as the sum of the arithmetic sequence of the odd numbers
a%5Bn%5D=2n-1 with a%5B1%5D=1 and d=2 gives you 1, 3, 5, 7, ...
c%5Bn%5D=n%5E2=sum%282i-1%2C1%2Cn%29 gives you
c%5B1%5D=1
c%5B2%5D=4=1%2B3
c%5B3%5D=9=1%2B3%2B5
c%5B4%5D=16=1%2B3%2B5%2B7
c%5B5%5D=25=1%2B3%2B5%2B7%2B9
and so on.