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Why does the nth term of arithmetic sequence work?
Because that is how it is defined and derived.
What is the definition of finding the nth term?
It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.
How do you work out number sequence?
For a linear sequence (same differences) look for the difference first. E.g.7, 11, 15, 19 ...This has a difference of 4 so the first part of the rule is 4n. (the rule follows the 4 times table)Now compare the sequence to the 4 times table7, 11, 15, 19 ...4, 8, 12, 16 ...Out sequence is always 3 larger than the four times table so we adjust our rule by adding 3. So our final rule is 4n + 3.
Why does Fibonacci sequence work?
Work for what?
How do you find the nth term in a fraction sequence?
work it out it's one more than the 8th and one less than the 10th * * * * * 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.
