Answer:
The first five terms of the recursive sequence are;
5, 12, 19, 26, 33
Explanation:
The given sequence is presented as follows;
aₓ = a₍ₓ ₋ ₁₎ + 7
The first term of the sequence, a₁ = 5
Therefore, we have;
a₂ = a₍₂ ₋ ₁₎ + 7 = a₁ + 7 = 5 + 7 = 12
a₃ = a₍₃ ₋ ₁₎ + 7 = a₂ + 7 = 12 + 7 = 19
a₄ = a₍₄ ₋ ₁₎ + 7 = a₃ + 7 = 19 + 7 = 26
a₅ = a₍₅ ₋ ₁₎ + 7 = a₄ + 7 = 26 + 7 = 33
The first five terms of the recursive sequence are therefore;
5, 12, 19, 26, 33.