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Writing and Using Explicit Rules for Arithmetic Sequences

Writing and Using Explicit Rules for Arithmetic Sequences 1.15 - Solution

arrow_back Return to Writing and Using Explicit Rules for Arithmetic Sequences
Explicit equations for arithmetic sequences follow a specific format. In this form, is the first term in a given sequence, is the common difference from one term to the next, and is the term in the sequence. For this exercise, the first term is Let's observe the other terms to determine the common difference As we can see By substituting these two values we found into the explicit equation and simplifying, we can find the formula for this sequence.
This equation can be used to find any term in the given sequence. To find the term in the sequence, we substitute for
The term in the sequence is