Respuesta :

Answer:

  • The nth term of this given G.P. is  [tex]T_n =5\times[3]^{n-1}[/tex].

Step-by-step explanation:

Given that

  • geometric sequence 5 15 45 135​

To find

  • nth term of this GP.

So, according to the question

We have,

  • A GP

            5 15 45 135​

From this G.P.

  • The first term  a = 5,
  • The common ratio r = [tex]\frac{15}{5}[/tex]

So, we know that

  • The the nth term of the geometric sequence is:

                        [tex]T_n =ar^{n-1}[/tex]

Where,

  •       Tn = nth term of G.P.
  •         n = nth number.

Now, putting the all given values

                        [tex]T_n =5\times[3]^{n-1}[/tex] -----------------(1)

Answer:

  • The nth term of this given G.P. is  [tex]T_n =5\times[3]^{n-1}[/tex], from it we will be calculate all terms till n.

To learn more about Geometric Progression, please click on the link:

https://brainly.com/question/1952316

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