Exercise 27 Page 319

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 [0.8em] Explicit: a_n&= a_1+(n-1) d In 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)+ 17; a_1= 4 We can see that 17 is the common difference and the first term is 4. Now we have enough information to form an explicit formula for this sequence.

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