Pergunta

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:
###
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:
###
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