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Vinil7 [7]
3 years ago
14

If the sum of four consecutive numbers is n, what is the first one?

Mathematics
1 answer:
serg [7]3 years ago
4 0

x - first\ number\\\\x,\ x+1,\ x+2,\ x+3-\text{four consecutive integers}\\\\\text{The equation:}\\\\x+(x+1)+(x+2)+(x+3)=n\\\\4x+6=n\ \ \ \ |-6\\\\4x=n-6\ \ \ \ \ |:4\\\\\boxed{x=\dfrac{n-6}{4}}


m, m+1,\ m+2,\ m+3,\ m+4,\ m+5,\ m+6-\text{seven consecutive numbers}\\\\\text{The sum}\\\\m+(m+1)+(m+2)+(m+3)+(m+4)+(m+5)+(m+6)=7m+21

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