Answer:
1. 6, 11, 16, 21, 26
2. a₁ = 14, aₙ = aₙ₋₁ - 4
Step-by-step explanation:
1. First 5 terms
aₙ = 5n + 1
n = 1: a₁ = 5 × 1 + 1 = 6 + 1 = 6
n = 2: a₂ = 5 × 2 + 1 = 10 + 1 = 11
n = 3: a₃ = 5 × 3 + 1 = 15 + 1 = 16
n = 4: a₄ = 5 × 4 + 1 = 20 + 1 = 21
n = 5: a₅= 5 × 5 + 1 = 25 + 1 = 26
The first five terms of the sequence are
6, 11, 16, 21, 26
2. Recursive definition
a₁ = 14
a₂ = 10
a₃ = 6
a₄ = 2
Each term (aₙ) is four units less than the preceding term (aₙ₋₁)
The recursive definition is
a₁ = 14, aₙ = aₙ₋₁ - 4
