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work it out it's one more than the 8th and one less than the 10th
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The above answer seems to make no sense here.
It is not clear what you mean by a fraction sequence. It is not possible to go through the process for finding the nth term in an arithmetic, geometric or power sequence here.
For school mathematics, sequences of fractions are, in fact composed of two simple sequences. One sequence defines the numerators and the other defines the denominators. In such cases, the nth term of the fraction sequence is the fraction given by the nth term of the numerator sequence divided by the nth term of the denominator sequence.
For example:
1/1, 3/4, 5/9, 7/16, 9/25, ...
The numerators are the odd number, with t(n) = 2n-1
The denominators are the squares of natural numbers with u(n) = n2
So, the nth term of the fraction sequence is (2n-1)/n2.
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