Final answer:
The first three terms of the given arithmetic sequence are -4, 3, and 10. This is determined by starting with the first term and adding 7 to each subsequent term.
Step-by-step explanation:
The student is asking for the first three terms of the arithmetic sequence given by a₁=-4, aₙ = aₙ₋₁ + 7 for n ≥ 2. We begin with a₁ which is given as -4. The next term, a₂, can be found by adding 7 to a₁:
a₂ = a₁ + 7
= -4 + 7
= 3
The third term, a₃, is found by adding 7 to a₂:
a₃ = a₂ + 7
= 3 + 7
= 10
Therefore, the first three terms of the sequence are -4, 3, and 10.