Question

Hallar la suma de los primeros 2023 números enteros positivos mayores que 47

Answer 1

The sum of the first 2023 positive integers greater than 47 is 1,019,619.

1. Identify the starting point:

The first positive integer greater than 47 is 48.

2. Determine the sequence of numbers:

You need to find the sum of the first 2023 positive integers. The sequence of numbers you are summing starts from 48 and goes on.

3. Find the last number in the sequence:

The last number in the sequence can be found by adding 2023 to the starting number (48). So, the last number would be 48 + 2023 - 1 = 2070.

4. Apply the formula for the sum of an arithmetic series:

The sum of the first \(n\) terms of an arithmetic series can be found using the formula:

`\[ S = (n)/(2) * (2a + (n-1)d) \]`

n = 2023(the number of terms),

a = 48 (the first term),

d = 1 (since we are dealing with consecutive integers).

Substituting these values into the formula, we get:

`\[ S = (2023)/(2) * (2 * 48 + (2023 - 1) * 1) \]`

5. Calculate the sum:

Now, you can plug in these values and calculate the sum.

Let's do the calculations:

`\[ S = (2023)/(2) * (2 * 48 + (2023 - 1) * 1) \]`

`\[ S = (2023)/(2) * (96 + 2022) \]`

`\[ S = (2023)/(2) * 2118 \]`

S = 1019619

Therefore, the sum of the first 2023 positive integers greater than 47 is 1,019,619.

Complete question:

Find the sum of the first 2023 positive integers greater than 47?