Math Problem Statement

Find the missing number in the pyramid with base row 1, 3, 5, 2 and middle rows summing upwards.

Solution

The pyramid puzzle you provided follows a logical pattern where each block is the sum of the two blocks directly beneath it. Here's how we can determine the missing number:

  1. At the bottom row, we have the numbers: 1,3,5,21, 3, 5, 2.
  2. Moving up to the next row:
    • 1+3=41 + 3 = 4,
    • 3+5=83 + 5 = 8,
    • 5+2=75 + 2 = 7.

So the second row from the bottom is 4,8,74, 8, 7.

  1. Moving to the next row:
    • 4+8=124 + 8 = 12,
    • 8+7=158 + 7 = 15.

This gives the next row as 12,1512, 15.

  1. Finally, the top block will be:
    • 12+15=2712 + 15 = 27.

Thus, the missing number is 27.

Would you like more details or have any further questions?

Here are five related questions for deeper understanding:

  1. What would happen if we changed the numbers in the base row?
  2. Could this puzzle be solved using multiplication or a different rule?
  3. How does this pyramid pattern apply to other types of number sequences?
  4. Can you find any other types of puzzles that use a similar summation concept?
  5. How would this pattern change if we introduced negative numbers?

Tip: Always look for patterns in puzzles like this by examining how each number relates to those around it.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Progression
Summation

Formulas

Sum of two numbers formula: a + b = c

Theorems

Basic summation in pyramid structure

Suitable Grade Level

Grades 5-7