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

Verified Answer :

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:

\(A_n = 6 \times 3^{n-1}\)            ,.....[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;

\(A_8 = 6 \times 3^7\)

⇒\(A_8 = 6 \times 2187\)

Simplify:

\(A_8 = 13,122\)

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