Respuesta :

mhanifa

Answer:

  • C. aₙ = 9*(2/3)ⁿ⁻¹

Step-by-step explanation:

Given:

  • The first term is a = 9 and the common ratio is r = 2/3.

The equation for the nth term of the GP:

  • aₙ = a*rⁿ⁻¹

Substitute the values to get:

  • aₙ = 9*(2/3)ⁿ⁻¹

Correct choice is C

Step-by-step explanation:

We know that

[tex] \sf a_{n} = a \times r {}^{n - 1} [/tex]

[tex] \sf \: a = 9(given)[/tex]

[tex] \sf \: a_{n} = \frac{2}{3} ( a_{n} - 1)[/tex]

Putting = 9

[tex]\sf a_n=9•\bigg(\dfrac{2}{3}\bigg)^{n-1}[/tex]