Final answer:
The number 2019 will appear under the letter M.
Step-by-step explanation:
In the given arrangement, the counting numbers are arranged in columns starting from the rightmost column. The first column represents the units place, the second column represents the tens place, the third column represents the hundreds place, and so on. This pattern continues for every subsequent column. Therefore, the number 2019 will appear in the fourth column from the right, as it has four digits.
To determine the letter under which the number 2019 will appear, we need to calculate the value of the fourth column from the right. We can do this by using the powers of 10. The fourth column from the right represents the hundreds place, which is equivalent to 10^2. Therefore, the value of this column will be 2019 x 10^2.
Next, we need to determine the value of 10^2. This can be done by multiplying 10 by itself two times, which gives us 100. Therefore, the value of the fourth column from the right will be 2019 x 100 = 201900.
Now, we need to convert this value to letters. In the given arrangement, each letter represents a particular value. The first letter, A, represents the value 1. The second letter, B, represents the value 2, and so on. The letter M represents the value 13, and this pattern continues for every subsequent letter. Therefore, the letter under which the number 2019 will appear can be determined by dividing the value of the fourth column (201900) by the value of each letter (13).
201900 / 13 = 15531. This means that the number 2019 will appear under the 15531st letter, which is M.
In conclusion, the number 2019 will appear under the letter M in the given arrangement. This can be determined by using the pattern of arranging counting numbers in columns, calculating the value of the fourth column from the right, and converting it to letters using the given values. By following these steps, we can accurately determine the letter under which any counting number will appear in this arrangement.
Complete Question:
Under which letter will the number 2019 appear in the given arrangement of counting numbers, and how is this determined based on the pattern of arranging numbers in columns and converting them to letters as explained in the provided explanation?