Math Problem Statement
50, 25, 0, -25, -50, _
Solution
The sequence you provided follows a consistent pattern where each term decreases by 25. Let's break it down:
- 50 → 25 (decrease by 25)
- 25 → 0 (decrease by 25)
- 0 → -25 (decrease by 25)
- -25 → -50 (decrease by 25)
Following this pattern, the next term would be:
Thus, the missing term is -75.
Would you like more details or have any questions?
Here are some related questions for further exploration:
- What is the general formula for this arithmetic sequence?
- How would you find the 10th term in this sequence?
- Can this pattern be represented as a linear equation?
- How can you determine the sum of the first 10 terms in this sequence?
- How does the concept of a common difference apply to arithmetic sequences?
Tip: In an arithmetic sequence, the difference between consecutive terms is constant. This difference is called the "common difference."
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Patterns
Common Difference
Formulas
Arithmetic sequence formula: a_n = a_1 + (n - 1) * d
Theorems
Arithmetic sequence common difference theorem
Suitable Grade Level
Grades 6-8