What is the formula for the following geometric sequence?

3, 12, 48, 192, ...

an = ( ) · 3 n - 1
an = 4 · 3 n - 1
an = 3 · 4 n - 1
an = 3 · (-4) n - 1

Correct  a = 3 · 4⁽ⁿ ⁻ ¹⁾

Step-by-step explanation:

Given:

Geometric sequence 3, 12, 48, 192,

First term       a₁ = 3

Second term a₂ = 12

Third term     a₃ = 48

Common ratio or quotient:

q = a₂ / a₁ = a₃ / a₂ = 12 / 3 = 48 / 12 = 4

q = 4

First term       a₁ = 3

Second term a₂ = a · q

Third term     a₃ = a₂ · q = a₁ · q²

Fourth term a₄ = a₃ · q = a₁ · q³

n- th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾

In this case  aₙ =  3 · 4⁽ⁿ ⁻ ¹⁾

God is with you!!!

0 is its x and y coordinate