Math Problem Statement
A sequence is in the form 0,1,2,9,8. The 10th term in the sequence is
Solution
To determine the 10th term in the given sequence , we need to first identify the pattern or rule governing the sequence.
Observing the terms provided:
One possible way to approach this is to look for a repeating pattern or transformation. Given the first few terms, let's see if there is a pattern for the first few terms:
- The first three terms are , which appear to be simple increments.
- The fourth and fifth terms are , which might suggest a decrement from 9.
Now, checking if there’s any periodic pattern, consider the terms modulo 10:
Let's assume the sequence has a period of 5. This implies that every 5 terms, the sequence repeats itself. To determine the 10th term, we consider:
Since the 10th term is at a position that is a multiple of 5, it corresponds to the last position of one complete period (which is 5). So,
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Math Problem Analysis
Mathematical Concepts
Number Sequences
Modulo Arithmetic
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9