Answer:
Correct answer: 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⁾
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