Question

1. write the first 5 terms of the geometric sequence defined by rule: $f(n) = f(n - 1) \cdot 6$, $f(1) = 3$

Explanation:

Step1: Identify first term

$f(1) = 3$

Step2: Calculate second term

$f(2) = f(1) \cdot 6 = 3 \cdot 6 = 18$

Step3: Calculate third term

$f(3) = f(2) \cdot 6 = 18 \cdot 6 = 108$

Step4: Calculate fourth term

$f(4) = f(3) \cdot 6 = 108 \cdot 6 = 648$

Step5: Calculate fifth term

$f(5) = f(4) \cdot 6 = 648 \cdot 6 = 3888$

Answer:

$3, 18, 108, 648, 3888$