Question

1 ,2, 2, 3, 3, 3 ,4 ,4, 4 ,4 какое число будет на номер 500 000 000

Answer 1

Что ты имеешь ввиду?

Answer 2

To determine which number will be at position 500,000,000 in the sequence, let's analyze the pattern.

The sequence appears to be a triangular number sequence. In a triangular number sequence, the number of elements in each row increases by 1. The first row has 1 element (1), the second row has 2 elements (2, 2), the third row has 3 elements (3, 3, 3), and so on.

To find the row number that contains the 500,000,000th element, we can use the formula for the nth triangular number, which is given by the formula: T(n) = n * (n + 1) / 2.

We need to find the maximum value of n such that T(n) <= 500,000,000. We can solve this quadratic inequality to get an approximate value of n:

n * (n + 1) / 2 <= 500,000,000 n^2 + n - 1,000,000,000 <= 0

Using the quadratic formula, we get:

n ≈ (-1 ± √(1 + 4 * 1,000,000,000)) / 2 n ≈ (-1 ± √1,000,000,001) / 2 n ≈ (-1 ± 31,622.7766) / 2

Taking the positive value:

n ≈ (31,622.7766 - 1) / 2 n ≈ 31,621.7766 / 2 n ≈ 15,810.8883

Since the row number cannot be a decimal, we round down to the nearest integer to ensure we don't exceed 500,000,000. So, the 500,000,000th number will be the last number in the 15,810th row, which contains 15,810 elements.

Now, let's find the number of elements in the first 15,810 rows:

1 + 2 + 3 + ... + 15,810 = 15,810 * (15,810 + 1) / 2 ≈ 124,977,955

So, there are 124,977,955 numbers before the 500,000,000th number. To find the actual number at position 500,000,000, we need to find the difference between the number of elements in the first 15,810 rows and the target position:

500,000,000 - 124,977,955 = 375,022,045

The 375,022,045th number in the 15,810th row is the same as the last number in that row, which is 15,810. So, the number at position 500,000,000 is 15,810.