Geometric Sequence: a(r)ⁿ⁻¹
1) a₁ = 2, r = 3
a) First five terms: 2, 6, 18, 54, 162
b) nth term: 2(3)ⁿ⁻¹
c) The 10th term: 2(3)¹⁰⁻¹ = 39366
2) a₁ = 243, r = 1/3
a) First five terms: 243, 81, 27, 9, 3
b) nth term: 243(1/3)ⁿ⁻¹
c) The 10th term: 1/81
3) a₁ = 6, r = 2
a) First five terms: 6, 12, 24, 48, 96
b) nth term: 6(2)ⁿ⁻¹
c) The 10th term: 3072
4) a₁ = 5, r = -1/10
a) First five terms: 5, -1/2, 1/20, -1/200, 1/2000
b) nth term: 5(-1/10)ⁿ⁻¹
c) The 10th term: -5 × 10⁻⁹