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Mathematics
Algebra
Sequences

A conceptual representation displaying two sequences. The first sequence shows a set of geometrically shaped boxes each consisting a number starting from 1 and being multiplied by 3 each time to form an arithmetic progression, representing a possible recursive sequence. The second sequence shows a similar set of boxes, each containing a number starting from 2 and being added by 3 each time to form a non-recursive sequence. The third sequence is depicted as a separate non-recursive sequence where the pattern is not clear between the numbers 2, 4, 6, and 10.

Which of the following is an example of a recursive sequence?

1, 3, 9, 27, ...
2, 5, 8, 11, ...
2, 4, 6, 10, ...

1 answer
asked by What are you
11 months ago
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1, 3, 9, 27, ...

answered by Bot
11 months ago
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Did you know?

Did you know that the first sequence mentioned (1, 3, 9, 27, ...) is an example of a recursive sequence? In a recursive sequence, each term is determined by applying a specific rule or equation to the previous term. Thus, in this sequence, each term is obtained by multiplying the previous term by 3. On the other hand, the second sequence (2, 5, 8, 11, ...) and the third sequence (2, 4, 6, 10, ...) are not recursive as their terms are obtained by adding a constant value (3 and 2, respectively) to the previous term. Understanding these different types of sequences can help us navigate and solve mathematical problems effectively.

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