Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
7. Arithmetic Sequences
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Exercise 55 Page 280

A sequence is arithmetic if the difference between two consecutive terms is constant.

Is the Sequence Arithmetic? Yes.
Explanation: See solution.
Recursive Formula:
Explicit Formula:

Practice makes perfect
When a sequence is arithmetic, the difference between two consecutive terms is constant. Examining our sequence we can see that this is the case.
Since the difference between consecutive terms is constant and equal to we have an arithmetic sequence with common difference We will use this information to write both the recursive and the explicit formula.

Recursive Formula

Let's recall the general form of the recursive formula for an arithmetic sequence.