A sequence is recursively defined by , for . If and , what is the value of ?
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The values for and are given. is equal to . is equal to . is equal to . is equal to .
If your graphing calculator has a sequence mode, you can define the sequence recursively and find the value of . Let , since the first term is . Define . Let , since we have to define the first two terms and . Then examining a graph or table, you can find .