Respuesta :

Answer:

3

Step-by-step explanation:

a5 = a* r^4 ( from general formular of a GP)

= 243 * (1/3)^4 =. 243 * 1/81 = 3

The required 5th term in the geometric sequence is 3.

For geometric sequence a = 243 and r = 1/3.
fifth term to be determine.


What is geometric progression?

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here, a = 243 and r = 1/3.
fifth term = [tex]ar^{n-1}[/tex]
              = [tex]243*(1/3)^{5-1}[/tex]
              = [tex]243*(1/3)^4[/tex]
              = 243 * 1/81
              = 3

Thus, the required 5th term in the geometric sequence is 3.
           

Learn more about geometric progression here: https://brainly.com/question/4853032

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