Respuesta :

catherinetaniatan

Answer:

The smallest integer is 8.

Step-by-step explanation:

Let the smallest integer be a.

The sum of 25 consecutive integers is 500.

n = 25, d = 1

Sn = n/2 x (2a + (n-1) x d)

500 = 25/2 x (2a + (25-1) x 1)

500 = 25/2 x (2a + 24)

1000 : 25 = 2 (a + 12)

40 : 2 = a + 12

20 - 12 = a

a = 8

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