Big Ideas Math Algebra 2 A Bridge to Success
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Exercise 1 Page 434

What is the relation between any two consecutive terms?

Pattern: arithmetic
Next Term:
Rule for the th term:

Let's start by paying close attention to the terms of the given sequence.
We can see that the difference between any two consecutive terms is always Therefore, we have an arithmetic sequence with a common difference of To find the term, we will add to the term.
Finally, considering that we have an arithmetic sequence with a first term of and a common difference of we can write its rule.