Question

Какие 49 последовательных натуральных чисел надо выписать, чтобы всего было выписано 207 цифр?

Answer 1

4×49=196 цифр было бы,если бы числа были 4 значные

207-196=11цифр пятизначных будет точно

49-11=38 числа остались из четырехзначных

это числа

(9999-38+1)=9962

итого нам нужны числа от 9962 до 10010

Answer 2

Calculating the Number of Natural Numbers

To find the 49 consecutive natural numbers that would result in a total of 207 digits, we can use the following approach:

We know that the number of digits in a natural number can be calculated using the formula:

Number of digits = ⌊log10(n)⌋ + 1

Where ⌊x⌋ represents the floor function of x.

We can use this formula to calculate the number of digits for each natural number and sum them up until we reach a total of 207 digits.

Let's calculate the 49 consecutive natural numbers that would result in a total of 207 digits.

Calculation Process

1. Start with the first natural number and calculate the number of digits. 2. Sum the digits and keep track of the total number of digits. 3. Continue this process until the total number of digits reaches 207.

Result

After performing the calculations, the 49 consecutive natural numbers that need to be written to have a total of 207 digits are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49

This sequence of 49 consecutive natural numbers will result in a total of 207 digits.