Math Problem Statement

what is the correct answer here?

What is the ratio of the third number in the sequence that is not divisible by 3 to the total number of options?

Solution

The problem involves the concept of a "cyclic number system," often seen in modular arithmetic, specifically related to numbers divisible by 3. Here's how we can break it down:

Question analysis:

  • The image shows a sequence of numbers with some not divisible by 3.
  • The task is to identify how far the first non-divisible by 3 number is from the rightmost number.

Step-by-step breakdown:

  1. Given numbers: {0,1,2,3,4,5,6,7,8,9}\{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 \}
  2. Non-divisible by 3: Among the numbers, those divisible by 3 are {0,3,6,9}\{ 0, 3, 6, 9 \}. The non-divisible ones are {1,2,4,5,7,8}\{ 1, 2, 4, 5, 7, 8 \}.
  3. First non-divisible by 3: Referring to the diagram and arrows, the first number that is not divisible by 3 appears at position 1 (to the left).
  4. The third place: The question asks for the third place that is non-divisible by 3, which occurs at 5.

Checking the options:

  • The correct ratio to identify the sequence depends on how many divisible numbers come before the specified non-divisible one.

Given the context, I would need more information from you to ensure the accuracy of the sequence interpretation

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Modular Arithmetic
Divisibility

Formulas

-

Theorems

Divisibility Rules

Suitable Grade Level

Grades 6-8