The general term of geometric progression for the sequence is 3^n.
What is Geometric progression?
Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.
For the given situation,
The sequence is 3, 9, 27, 81, 243, . . .
The general form of Geometric Progression is a, ar, ar^2, ar^3, ar^4,…, ar^n-1
Where, a = First term, r = common ratio, ar^n-1 = nth term
For the above sequence,
a = [tex]3[/tex]
r = [tex]\frac{9}{3}=3[/tex]
For the values of [tex]n=0, 1, 2, 3, 4, 5,......,[/tex] we can obtain the general term as [tex]3^{n}[/tex]. Thus the sequence becomes [tex]3, 9, 27, 81, 243, . . .[/tex]
Hence we can conclude that the general term of geometric progression for the sequence is 3^n.
Learn more about the geometric progression here
https://brainly.com/question/4853032
#SPJ2
