Math Problem Statement
2,6,?, 30, -270
Solution
This sequence appears to follow a multiplicative pattern. Let's analyze it step by step:
- The first number is 2.
- The second number is 6, which is .
- We are missing the third number (denote it by ).
- The fourth number is 30, which is .
- The fifth number is -270, which is .
It seems that the pattern involves multiplying by increasing odd integers (3, 5, -9). So, to find the missing number, we can multiply the second number (6) by the next odd integer, which would be 1:
Thus, the sequence should be:
The missing number is 6.
Would you like a more detailed explanation or have any questions?
Here are five related questions:
- What are the next two terms in the sequence if the pattern continues?
- Can you identify another sequence with a similar alternating multiplication pattern?
- How would the sequence change if we multiplied by even numbers instead of odd ones?
- What is the general term formula for a sequence that follows a multiplicative pattern?
- Can you create a sequence using addition instead of multiplication?
Tip: When working with sequences, check for both arithmetic (addition/subtraction) and geometric (multiplication/division) patterns.
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Math Problem Analysis
Mathematical Concepts
Sequences
Patterns
Multiplication
Formulas
Next term in sequence = Previous term * Odd Integer (increasing pattern)
Theorems
None explicitly involved; pattern recognition and multiplication
Suitable Grade Level
Grades 6-8