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: a_n = 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
a₃ = a₂ - 5 = (a1 - 5) - 5
a₄ = a₃ - 5 = ((a1 - 5) - 5) - 5

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