The formula for the general term of the given sequence 5, 5/3, 5/9, 5/27 is [tex]a_{n} = \frac{5}{3^{n} }[/tex].
According to the given question.
We have a sequence 5, 5/3, 5/9, 5/27.
As, we know that "a sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule"
If we see the given sequence 5, 5/3, 5/9, 5/27 it is following a pattern in which the nummerator of all the terms are same but the denominator is increasing by by power to 3 like 3^0 = 1, 3^1 = 3, 3^2 = 9 and so on.
Thereofre, the genereal term [tex]a_{n}[/tex], of the given sequence is given by
[tex]a_{n} = \frac{5}{x^{n} }[/tex] , where n belong to whole numbers.
Hence, the formula for the general term of the given sequence 5, 5/3, 5/9, 5/27 is [tex]a_{n} = \frac{5}{3^{n} }[/tex].
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