What is the 8th term in the geometric sequence described by this explicit formula?


An=6×3(n-1)
A.2187
B.612,220,032
C.13,122
D.39,366

Respuesta :

Setor9
The 8tt term is C. 13122

Answer:

Option C is correct

13,122

Step-by-step explanation:

Given the explicit formula for geometric sequence:

[tex]A_n = 6 \times 3^{n-1}[/tex]            ,.....[1]

where,

n is the number of term.

We have to find the 8th term in the geometric sequence.

⇒n = 8

Substitute in [1] we have;

[tex]A_8 = 6 \times 3^7[/tex]

⇒[tex]A_8 = 6 \times 2187[/tex]

Simplify:

[tex]A_8 = 13,122[/tex]

Therefore, the 8th term in the geometric sequence described by this explicit formula is, 13,122