Math Problem Statement

04,45,24,16,89,28 28,25,16,12,20,65 46,85,90,72,72, 93 ,69,76,12,____,Find the missing numbers with correct calculation

Solution

The pattern in the numbers can be identified by observing the relationships between the numbers in the columns. Let’s analyze it step by step.

We will break down the values column by column and see if there is a clear relationship (such as addition, subtraction, or multiplication) that helps us find the missing numbers.

Here are the given numbers in a matrix form:

04   45   24   16   89   28
28   25   16   12   20   65
46   85   90   72   72   93
??   69   76   12   ??   ??

Column 1:

We have the numbers: 04, 28, 46, ??.

  • The difference between 28 and 4 is 284=2428 - 4 = 24.
  • The difference between 46 and 28 is 4628=1846 - 28 = 18. This gives a decreasing difference (24, then 18). We can assume the next difference is 12, so:
  • 4612=3446 - 12 = 34.

Thus, the missing number in the first column is 34.

Column 5:

We have the numbers: 89, 20, 72, ??.

  • The difference between 20 and 89 is 2089=6920 - 89 = -69.
  • The difference between 72 and 20 is 7220=5272 - 20 = 52. There is no clear arithmetic pattern. However, if we assume the pattern alternates in some way, we could continue using a similar approach, like taking the difference between 72 and 20 (52), but it's more likely this column follows a geometric or less obvious pattern.

But since there's no common pattern, it's difficult to calculate

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Math Problem Analysis

Mathematical Concepts

Arithmetic Patterns
Sequences
Difference Calculation

Formulas

Difference between consecutive terms: term_n = term_(n-1) + difference

Theorems

Arithmetic Progression (AP)

Suitable Grade Level

Grades 5-7