Final answer:
The first five terms of the sequence are 3, 8, 13, 18, 23.
Step-by-step explanation:
The given sequence is defined by a₁=3 and aₙ₊₁=aₙ+5. To find the first 5 terms of the sequence, we can use the recursive formula. Starting with the first term, we have:
- a₁ = 3
- a₂ = a₁ + 5 = 3 + 5 = 8
- a₃ = a₂ + 5 = 8 + 5 = 13
- a₄ = a₃ + 5 = 13 + 5 = 18
- a₅ = a₄ + 5 = 18 + 5 = 23
Therefore, the first five terms of the sequence are 3, 8, 13, 18, 23.