danasun
danasun danasun
  • 04-06-2020
  • Mathematics
contestada

Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.

Respuesta :

Hrishii
Hrishii Hrishii
  • 04-06-2020

Answer:

[tex]t_7 =\frac{5}{729} [/tex]

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) =[tex]\frac{1}{3}[/tex]

The nth term of a geometric sequence is given as:

[tex]t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}[/tex]

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