Math Problem Statement
1/24,1/20,1/16,1/12,...?
Solution
The given sequence is:
To find the next term, let's analyze the pattern. Notice that the denominators are decreasing in an arithmetic sequence:
Each denominator decreases by 4:
Following this pattern, the next denominator will be:
Thus, the next term in the sequence is:
Final sequence:
Would you like a more detailed explanation, or do you have any other questions?
Related questions:
- What is an arithmetic progression, and how is it applied here?
- How can you determine the -th term of a sequence with changing denominators?
- Can sequences have a mix of arithmetic and geometric patterns?
- How do you find the sum of an infinite series like this?
- What are the different ways to express fractions in a sequence?
Tip:
Always check whether the numerators or denominators follow a consistent pattern when analyzing a sequence of fractions.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Fractions
Patterns
Formulas
nth term of an arithmetic sequence: a_n = a_1 + (n-1)d
Theorems
Arithmetic Progression
Suitable Grade Level
Grades 6-8
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