Math Problem Statement
What is the next term 9, 4, - 1, - 6, -11 ,…..?
Solution
The given sequence is .
To find the pattern, let's examine the difference between consecutive terms:
The difference between each term is , meaning this is an arithmetic sequence where each term decreases by 5.
To find the next term after :
So, the next term in the sequence is .
Would you like more details on how arithmetic sequences work, or do you have any other questions?
Related Questions:
- What is the 10th term in this sequence?
- How do you find the nth term of an arithmetic sequence?
- What is the sum of the first 20 terms of this sequence?
- Can an arithmetic sequence have an increasing pattern instead of decreasing?
- How do you determine if a sequence is arithmetic or geometric?
- What happens if the common difference in an arithmetic sequence is 0?
- What is the formula for the sum of an arithmetic sequence?
- How do arithmetic sequences apply in real-world scenarios?
Tip: In arithmetic sequences, understanding the common difference is key to finding any term in the sequence.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9