Math Problem Statement
find the pattern what numbers come text, 61 54 47 40 33
Solution
The sequence provided is: 61, 54, 47, 40, 33.
Let's analyze the pattern by finding the differences between consecutive terms:
The difference between each consecutive term is consistently . This indicates that the sequence is an arithmetic sequence with a common difference of .
Next number:
To find the next number in the sequence, subtract 7 from the last number, 33:
So, the next number in the sequence is 26.
Would you like more details or have any questions about this pattern?
Here are five related questions to consider:
- What is the 10th term of this sequence?
- How can you express the general term of this arithmetic sequence using a formula?
- How would the sequence behave if you added 2 to each term?
- What is the sum of the first 15 terms of this sequence?
- How does this sequence compare to one with a common difference of ?
Tip: In an arithmetic sequence, the formula for the th term is , where is the first term and is the common difference.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
Arithmetic sequence formula: a_n = a_1 + (n-1) * d
Theorems
-
Suitable Grade Level
Grades 7-9