Problem 3.1: What is the common ratio r in the geometric sequence .5, 1.5, 4.5, 13.5, 40.5,…? [Solution]

Problem 3.2: Define the geometric sequence a_n = 2×3⁽n - 1) recursively. [Solution]

Problem 3.3: Define the geometric sequence a₁ = 4; a_n+1 =

a_n explicitly. [Solution]

Problem 3.4: What is

53×2⁽n - 1)? [Solution]

Problem 3.5: What is the limit of the infinite series 2 + 1 +

+

+ ^... ? [Solution]