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Convert Between Explicit and Recursive Forms
Worksheet
Grade Level
Algebra I
ALG1.117 Convert Between Explicit and Recursive Forms
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A sequence has recursive definition a_1 = 2 and a_n = a_(n-1) + 7 for n >= 2. Which statement correctly verifies the explicit formula a_n = 7n - 5?
A
It is correct because a_1 = 2 and increasing n by 1 increases 7n - 5 by 7.
B
It is incorrect because the explicit formula should be a_n = 2n + 7.
C
It is incorrect because the recursive rule adds 7 but the explicit formula subtracts 5.
D
It is correct only for n = 1 because recursive and explicit forms cannot both define the same sequence.
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