Math Problem Statement
-10, -6, -2 _, 2, 6, 10,
Solution
The given sequence is: .
To find the missing number, observe the pattern in the sequence:
Each term increases by 4:
Thus, the missing number between and is .
The complete sequence is: .
Would you like a more detailed explanation or have any questions?
Here are 5 related questions for you to explore:
- What is the general formula for this arithmetic sequence?
- How can you find the sum of all terms in the sequence?
- What would the next two terms be after ?
- How does the common difference in an arithmetic sequence affect the pattern?
- Can you find the 15th term of this arithmetic sequence?
Tip: In an arithmetic sequence, the difference between consecutive terms is always constant, which makes it easy to find any term.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Patterns
Formulas
nth term of an arithmetic sequence: a_n = a_1 + (n - 1) * d
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 5-7