Math Problem Statement
Solution
The sequence presented in the image is: 72, 81, 90, ___, 108, ___.
To find the missing numbers, let's first identify the pattern:
- The difference between 81 and 72 is .
- The difference between 90 and 81 is .
This suggests that the sequence increases by 9 each time.
Following this pattern:
- The next number after 90 will be .
- After 108, the next number will be .
So, the complete sequence is: 72, 81, 90, 99, 108, 117.
Would you like a more detailed explanation, or do you have any questions about this sequence?
Here are 5 related questions for further practice:
- What is the next number after 117 if the pattern continues?
- How can you express this sequence using an algebraic formula?
- What is the common difference of an arithmetic sequence?
- If the starting number was 80 and the difference was 5, what would the sequence look like?
- How can you find the nth term of an arithmetic sequence?
Tip: In an arithmetic sequence, each term increases by a constant value known as the common difference.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Formulas
a_n = a_1 + (n - 1) * d
Theorems
Arithmetic Sequence Formula
Suitable Grade Level
Grades 6-8
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