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  • 07-09-2020
  • Mathematics
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If the sum of four consecutive numbers is 1770, what is the last one?

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xKelvin
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  • 07-09-2020

Answer:

444

Step-by-step explanation:

So we know that the sum of four consecutive numbers is 1770.

Let the first number be n,

Then the second number must be (n+1), followed by (n+2) and (n+3).

They sum to 1770, so:

[tex]n+(n+1)+(n+2)+(n+3)=1770[/tex]

Combine like terms:

[tex]4n+6=1770[/tex]

Subtract 6 from both sides:

[tex]4n=1764[/tex]

Divide both sides by 4:

[tex]n=441[/tex]

So, the first number is 441.

So our sequence is 441, 442, 443, and 444.

Thus, our last number is 444.

And we're done!

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