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25) What is the average of the first 50 positive integers? 25 25.5 26 26.5 27

Pergunta

25) What is the average of the first 50 positive
integers?
25
25.5
26
26.5
27

25) What is the average of the first 50 positive integers? 25 25.5 26 26.5 27

Solução

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EsterMestre · Tutor por 5 anos

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The average of the first 50 positive integers is 25.5.

Explicação

## Step 1
The problem asks for the average of the first 50 positive integers. The average of a set of numbers is calculated by adding all the numbers together and then dividing by the number of numbers.

## Step 2
The first 50 positive integers are the numbers from 1 to 50.

## Step 3
To find the sum of these numbers, we can use the formula for the sum of an arithmetic series. The formula is:
###
where is the sum of the series, is the number of terms, is the first term, and is the last term.

## Step 4
In this case, , , and . Substituting these values into the formula, we get:
###

## Step 5
Now, to find the average, we divide the sum by the number of terms:
### Average
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