Question

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

Answer 1

Answer: C.
`\left \{ {{a1=-2} \atop {an=a(n-1)+3}} \right.`

because it is the arithmetic progression with d = 3

=> a(n) = a1 + (n - 1).3

so, have: a1 = -2

an = a(n-1) + 3

Explanation: