which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an= -2 + (n-1)3?

Answer: C.[tex]\left \{ {{a1=-2} \atop {an=a(n-1)+3}} \right.[/tex]
because it is the arithmetic progression with d = 3
=> a(n) = a1 + (n - 1).3
so, have: a1 = -2
an = a(n-1) + 3
Step-by-step explanation: