Math Problem Statement
1/2 7/8 5/4 13/8 find the next number in the pattern
Solution
To find the next number in the sequence , let’s analyze how each term relates to the previous one.
-
Convert to decimal form (to identify any potential pattern more easily):
-
Calculate the differences between consecutive terms:
Each term increases by , suggesting an arithmetic sequence with a common difference of .
- Find the next term by adding to :
In fractional form, is .
Answer:
The next number in the pattern is or simply .
Would you like further details or have any questions?
Related Questions:
- What is an arithmetic sequence, and how is it identified?
- How can you convert fractions to decimal form accurately?
- What other types of sequences exist besides arithmetic?
- How do you identify a geometric sequence?
- How can sequences be applied in real-world scenarios?
Tip:
When analyzing sequences, checking the differences between terms can often reveal the underlying pattern easily.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Fractions to Decimals Conversion
Formulas
Next term in an arithmetic sequence: a_n = a_{n-1} + d
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 6-8
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