Math Problem Statement

Find next number in last row after 58 number

Find the next number in the last row after 58.

Solution

To find the next number in the last row after 58, we need to look at any patterns or sequences within the last row and potentially other rows.

The last row starts as follows: 85, 64, 47, 87, 85, 97, 58

One possible way to approach this is to check the differences between consecutive numbers:

  • 64 - 85 = -21
  • 47 - 64 = -17
  • 87 - 47 = 40
  • 85 - 87 = -2
  • 97 - 85 = 12
  • 58 - 97 = -39

The differences are: -21, -17, 40, -2, 12, -39.

There doesn’t seem to be a simple arithmetic progression, but one pattern might involve alternating larger and smaller numbers or different rules for odd/even positions. To fully solve this, we'd need more context or assumptions about how the numbers are generated.

Would you like to explore another method, or perhaps try checking more rows for similar sequences? Let me know if you have any questions.

Here are 5 follow-up questions based on this analysis:

  1. Could the pattern involve some operation like multiplication/division for alternate numbers?
  2. Are there any geometric or Fibonacci-like sequences visible across the row?
  3. Could skipping numbers reveal a hidden sequence?
  4. What if we apply a modular arithmetic rule, especially on numbers ending in similar digits?
  5. Are we only looking for arithmetic differences, or should we try comparing number pairs?

Tip: When looking for a pattern in numbers, always check both differences and ratios between numbers.

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Math Problem Analysis

Mathematical Concepts

Number Patterns
Arithmetic Sequences
Differences Between Numbers

Formulas

Difference between consecutive numbers
Pattern identification using differences

Theorems

Arithmetic Sequences

Suitable Grade Level

Grades 6-8