Question

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. {5,5/3,5/9,5/27...}

Answer 1

The formula for the general term of the given sequence 5, 5/3, 5/9, 5/27 is  $a_{n} = \frac{5}{3^{n} }$.

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  $a_{n}$, of the given sequence is given by

$a_{n} = \frac{5}{x^{n} }$ , 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  $a_{n} = \frac{5}{3^{n} }$.

Find about more information about sequence here:

brainly.com/question/12952623

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