Exercise 41 Page 279

The explicit formula of an arithmetic sequence combines the information provided by the two equations of the recursive form into a single equation. Recursive:& A(n) = A(n - 1) + d; A(1) = A_1 Explicit:& A(n) = A(1) + (n - 1) dIn these formulas, d is the common difference and A(1) is the first term. Looking at the given recursive formula, we can identify the common difference d and the value of the first term A_1. A(n)=A(n-1)+( -0.3); A(1)= 0.3 We can see that - 0.3 is the common difference and the first term is 0.3. Now we have enough information to form an explicit formula for this sequence.