Math Problem Statement

11 | 66 | 60 | 12 | 17 | ?

Solution

To identify the missing number in the sequence 11,66,60,12,17,?11, 66, 60, 12, 17, ?, let's analyze the pattern:

We need to examine how each number transitions to the next. Let's try to find any operations or patterns that link them.

  1. From 11 to 66: 11×6=6611 \times 6 = 66

  2. From 66 to 60: 666=6066 - 6 = 60

  3. From 60 to 12: 60÷5=1260 \div 5 = 12

  4. From 12 to 17: 12+5=1712 + 5 = 17

Let's summarize these steps:

  1. Multiply by 6
  2. Subtract 6
  3. Divide by 5
  4. Add 5

To find the next number in the sequence after 17, let's consider continuing this pattern:

  1. From 17 to ?: If we follow the established pattern, we should now multiply by 6 again: 17×6=10217 \times 6 = 102

So, the missing number is 102102.

Would you like further details or have any questions?

Here are some questions you might want to ask:

  1. Can you explain the pattern in more detail?
  2. What if the pattern was different? How would we approach that?
  3. Are there alternative methods to solve such sequences?
  4. Can you provide another example of a number sequence with a different pattern?
  5. What are some common patterns found in number sequences?

Tip: When solving number sequences, look for simple arithmetic operations (addition, subtraction, multiplication, division) or more complex functions (like squares or cubes) that might explain the transitions between numbers.

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Math Problem Analysis

Mathematical Concepts

Sequences
Arithmetic Operations
Patterns

Formulas

Multiplication
Subtraction
Division
Addition

Theorems

Arithmetic Sequence Theorem

Suitable Grade Level

Grades 5-7