Final answer:
The sequence defined by t₁ = 5 and tₙ = tₙ₋₁ + 2 is an arithmetic sequence where each term is obtained by adding 2 to the previous term. The first 4 terms of the arithmetic sequence are 5, 7, 9, and 11, with each term being 2 greater than the previous term.
Step-by-step explanation:
The sequence defined by t₁ = 5 and tₙ = tₙ₋₁ + 2 is an arithmetic sequence where each term is obtained by adding 2 to the previous term. Given that t₁ (the first term) is 5, the second term, t₂, would be t₁ + 2 = 5 + 2 = 7. Similarly, for the third term, t₃ = t₂ + 2 = 7 + 2 = 9, and for the fourth term, t₄ = t₃ + 2 = 9 + 2 = 11.
The first 4 terms of this arithmetic sequence are therefore: 5, 7, 9, 11.