Finding the 1991st Digit in a Sequential Line of Numbers from 1 to 5000

Have you ever wondered what the 1991st digit would be if you wrote all the numbers from 1 to 5000 in a continuous line? In this article, we will walk through the steps to determine that specific digit. We'll explore the usage of different number ranges and the mathematical calculations involved, all while ensuring that our content is SEO-friendly and engaging.

Understanding the Problem: The Digit Sequence

The problem requires us to determine the 1991st digit in a sequence of numbers from 1 to 5000, written in a line. This means we need to account for the digits occupied by single-digit, two-digit, and three-digit numbers before reaching the desired position.

Breaking Down the Problem:Digit Count in Different Ranges

Let's break down the digit contributions from each range of numbers:

Single-digit numbers (1-9): These occupy 9 digits in total. Two-digit numbers (10-99): The range covers 90 numbers, contributing 2 digits each, resulting in 180 digits in total.

After accounting for the single and two-digit numbers, the remaining digits we need to explore can be calculated as follows:

Remaining digits 1991 - 1809 1802

Calculating the Position of the Target Digit

Three-digit numbers (100-999): This range contains 900 numbers. To cover 1802 digits, we need to determine how many of these numbers will be used. The number of three-digit numbers that can occupy 1802 digits can be calculated by performing the division: 1802 / 3 600 digits remainder 2. This means we need 600 full three-digit numbers and an additional 2 digits.

Steps:

Calculate the position of the 600th three-digit number starting from 100. Identify the specific digit from the starting number of the 601st three-digit number.

Executing the Steps

Step 1: Identifying the 600th Three-Digit Number

Since the sequence starts from 100, the 600th number can be calculated as:

600 100 - 1 700 (since the sequence starts from the first three-digit number)

Step 2: Identifying the Target Digit

The number 700, starting from 100, is the 600th three-digit number. To find the target digit within the number 700, we need to look at the position of the desired digit within this number. Since we need the second digit of 700:

The second digit of 700 is 0.

Therefore, the 1991st digit is 0.

Conclusion: SEO Optimization for Better Search Results

When optimizing this content for SEO, ensure that the following meta tags, content structure, and keywords are appropriately included:

Title Tag: Use the exact title provided at the beginning of this article. Description Meta Tag: Introduce the problem and the solution in a summary paragraph. Keywords: Utilize relevant keywords such as "digit sequence," "number sequence," "Google SEO," "algorithm," and "1991st digit" in the content and meta tags. Content Structure: Use headers (H1, H2, H3) to break down the content into manageable sections, making it more readable and SEO-friendly.

By structuring the content in this way, you can improve its visibility on search engines and make it easier for users to understand and engage with the solution to this intriguing problem.