Pregunta
\( x \) is the largest of 5 consecutive numbers, what is ther sum?
Ask by Spencer Chadwick. in Australia
Mar 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum of the five consecutive numbers is \( 5x - 10 \).
Solución
Let's denote the five consecutive numbers as \( x-4, x-3, x-2, x-1, x \). Here, \( x \) is the largest number.
To find the sum of these five consecutive numbers, we can express it as follows:
\[
\text{Sum} = (x-4) + (x-3) + (x-2) + (x-1) + x
\]
Now, let's simplify this expression step by step:
1. Combine like terms:
\[
\text{Sum} = x - 4 + x - 3 + x - 2 + x - 1 + x
\]
\[
= 5x - (4 + 3 + 2 + 1)
\]
2. Calculate the sum of the constants:
\[
4 + 3 + 2 + 1 = 10
\]
3. Substitute back into the equation:
\[
\text{Sum} = 5x - 10
\]
Thus, the sum of the five consecutive numbers, where \( x \) is the largest, is:
\[
\text{Sum} = 5x - 10
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
If \( x \) is the largest of 5 consecutive numbers, the numbers can be expressed as \( x-4, x-3, x-2, x-1, x \). To find the sum of these numbers, you can add them together: \[ (x-4) + (x-3) + (x-2) + (x-1) + x = 5x - 10. \] So, the sum of these 5 consecutive numbers is \( 5x - 10 \). Feeling confused? Don’t worry! Just remember that with consecutive numbers, they all center around the largest number! Think of them as steps leading up to the top—the largest one—and don't forget to count each step!

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