Math Problem Statement

Find next number in last row after 12

Find the next number in the last row after 12.

Solution

To find the next number in the last row after 12, I will analyze the patterns in the numbers provided. Let me extract the details from the table and check for arithmetic or logical sequences.The numbers in the last row are:

55, 16, 14, 12, ?

Observing the sequence:

  • The numbers appear to be decreasing, suggesting a possible arithmetic pattern.
  • The difference between consecutive numbers:
    • 1614=216 - 14 = 2
    • 1412=214 - 12 = 2

Prediction:

The numbers decrease by 2 each time. Thus, the next number after 12 would be:

122=1012 - 2 = 10

Answer:

The next number in the sequence is 10.

Would you like a deeper analysis or a review of the entire table? Let me know!


Here are 5 related questions to expand your understanding:

  1. Can you identify similar patterns in other rows or columns of the table?
  2. How would the sequence change if the differences were not consistent?
  3. What if the pattern was geometric instead of arithmetic?
  4. Could there be a relationship between rows and columns that affects the sequence?
  5. How might negative numbers or decimals alter predictions?

Tip: Always verify arithmetic patterns by checking differences or ratios systematically.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Patterns

Formulas

Next term in an arithmetic sequence: an = an-1 + d

Theorems

Arithmetic Progression Theorem

Suitable Grade Level

Grades 5-8