Find the 21st term, 6,5,1,2,6,5,1,2
appears to go 6,5,1,2 .....
a cycle of 4 terms.
the 21st term must be 6
To find the 21st term in the given sequence, we need to understand the pattern. Looking at the sequence, we can observe that it repeats every four terms: 6, 5, 1, 2. So, we can break down the sequence as follows:
6, 5, 1, 2, 6, 5, 1, 2, ...
To find the 21st term, we can calculate the remainder when dividing 21 by 4, which is 1. This tells us that the 21st term will be at the same position as the 1st term in the repeating pattern.
Therefore, the 21st term in the sequence is 6.
Explanation:
1. Observe the pattern in the sequence: 6, 5, 1, 2.
2. Realize that the pattern repeats every four terms.
3. Divide 21 by 4 and find the remainder, which in this case is 1.
4. Determine that the 21st term will be at the same position as the 1st term in the repeating pattern.
5. Thus, the 21st term is 6.