Question

What is the formula for the following geometric sequence?

Answer 1

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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