Math Problem Statement

Find the missing number inside the last triangle, given the following sequence of shapes and numbers: - Square: 3 - Triangle: 21 - Square: 8 - Triangle: 2 - Square: 81 - Triangle: ? The answer choices are: - (A) 18 - (B) 34 - (C) 36 - (D) 44

Solution

The image shows a sequence of alternating squares and triangles with numbers inside them. The task is to determine the missing number inside the last triangle, with the following shapes and numbers:

  • Square: 3
  • Triangle: 21
  • Square: 8
  • Triangle: 2
  • Square: 81
  • Triangle: ?

The answer choices provided are:

  • (A) 18
  • (B) 34
  • (C) 36
  • (D) 44

Analyzing the pattern:

  1. The squares have numbers that follow a specific rule, and the triangles seem to relate to those numbers.
  2. Observing the relationship between the square and triangle pairs:
    • Square (3) and Triangle (21)
    • Square (8) and Triangle (2)
    • Square (81) and missing Triangle (?)

First Pair (Square: 3, Triangle: 21)

Multiplying the square’s value (3) by 7 gives us 21, which matches the number in the triangle.

Second Pair (Square: 8, Triangle: 2)

Multiplying the square’s value (8) by 0.25 gives us 2, the number inside the triangle.

Third Pair (Square: 81, Triangle: ?)

Applying the same logic, multiplying the square’s value (81) by 0.5 gives us: 81×0.5=40.581 \times 0.5 = 40.5 However, this is not among the answer choices, so the pattern might involve rounding or different scaling.

Let's review and find a more precise pattern.

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Math Problem Analysis

Mathematical Concepts

Pattern Recognition
Arithmetic Sequences

Formulas

Number Multiplication and Division

Theorems

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Suitable Grade Level

Grades 6-8