Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
7. Arithmetic Sequences
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Exercise 39 Page 279

Can the common difference and the first term be identified just by looking at the recursive formula?

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The explicit formula of an arithmetic sequence combines the information provided by the two equations of the recursive form into a single equation.
In these formulas, is the common difference and is the first term. Looking at the given recursive formula, we can identify the common difference and the value of the first term
We can see that is the common difference and the first term is Now we have enough information to form an explicit formula for this sequence.