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 60 Page 280

To find the second, third, and fourth terms of the arithmetic sequence, substitute and in the given recursive formula.

Terms:
Explicit Formula:

Practice makes perfect
Let's start by considering the given recursive formula for the arithmetic sequence.
To find the second, third, and fourth terms, we will substitute and in the above formula. To do so, we will use a table.






Therefore, the next three terms of the sequence are and We also want to find the explicit formula of this arithmetic sequence. It 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 once again at the given recursive formula, we can identify the common difference and the value of the first term
We can see that the common difference is and the first term is Now we have enough information to write an explicit formula for this sequence.