Question

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

Answer 1

The 8tt term is C. 13122

Answer 2

Option C is correct

13,122

Explanation:

Given the explicit formula for geometric sequence:

`A_n = 6 * 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 * 3^7`

⇒
`A_8 = 6 * 2187`

Simplify:

`A_8 = 13,122`

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