Algebra-1

To find the explicit form of the given recursive formula, we can use the initial term (a₁) and the recursive relationship.

The recursive formula is given as: an = a_n-1 + 5

Using this formula, we can establish a pattern by substituting the previous term (a_n-1) with its equivalent expression:

a₂ = a₁ + 5 = -16 + 5 = -11
a₃ = a₂ + 5 = -11 + 5 = -6
a₄ = a₃ + 5 = -6 + 5 = -1

Based on this pattern, we can see that the common difference (+5) is multiplied by (n - 1) in each term, indi...