Find the rule that defines the following
sequence
1)-1,0,1,2,3,4
Answer:
The rule that defines the given sequence {-1, 0, 1, 2, 3, 4} is:
An = n - 1
Where "n" represents the position of the term in the sequence. So, when n = 1, the first term is -1, when n = 2, the second term is 0, when n = 3, the third term is 1, and so on.
Step-by-step explanation:
here's the step-by-step solution to finding the rule that defines the given sequence {-1, 0, 1, 2, 3, 4}:
1. Examine the sequence: {-1, 0, 1, 2, 3, 4}.
2. Identify the position of each term in the sequence:
- First term: -1 (n = 1)
- Second term: 0 (n = 2)
- Third term: 1 (n = 3)
- Fourth term: 2 (n = 4)
- Fifth term: 3 (n = 5)
- Sixth term: 4 (n = 6)
3. Notice that each term is one less than its position in the sequence. In other words, the rule is that each term (An) is equal to its position (n) minus 1:
An = n - 1
So, this rule describes the given sequence {-1, 0, 1, 2, 3, 4}.
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