Math Problem Statement
find the pattern what numbers come text, 61 54 47 40
Solution
The sequence provided is: 61, 54, 47, 40.
To find the pattern, let's examine the difference between consecutive terms:
The difference between each consecutive term is . This indicates that the pattern is an arithmetic sequence where each term is 7 less than the previous term.
Next number:
To find the next number in the sequence, subtract 7 from the last number, 40:
So, the next number in the sequence is 33.
Would you like more details or have any questions about the pattern?
Here are five related questions to expand on this topic:
- What is the general formula for the th term in this arithmetic sequence?
- How can you determine the common difference in any arithmetic sequence?
- Can you find the sum of the first 10 terms in this sequence?
- How would the sequence change if the difference was instead ?
- What happens to the sequence if you add a constant to each term?
Tip: When identifying a pattern, always check the differences between terms first; this helps determine if the sequence is arithmetic, geometric, or something else.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
General formula for the nth term of an arithmetic sequence
Theorems
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Suitable Grade Level
Grades 7-9