Math Problem Statement
What is the missing number sequence -10,-6,-2,_,6,10?
Solution
The given sequence is: .
To find the missing number, observe the pattern in the sequence. The difference between consecutive terms is:
Each number increases by 4. So, to find the missing number, add 4 to :
Thus, the missing number is 2.
The complete sequence is: .
Would you like more details on sequences or further explanation?
Related questions:
- What is the general formula for an arithmetic sequence?
- How do you find the common difference in a sequence?
- Can an arithmetic sequence contain negative numbers throughout?
- How would you find the sum of all terms in an arithmetic sequence?
- What happens to a sequence if the common difference is negative?
Tip:
In an arithmetic sequence, the difference between any two consecutive terms is always constant.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Patterns
Formulas
Common Difference Formula: d = a_n - a_(n-1)
Arithmetic Sequence Formula: a_n = a_1 + (n-1)d
Theorems
Arithmetic Sequences Theorem
Suitable Grade Level
Grades 6-8
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