arielobregon66 arielobregon66
  • 07-10-2017
  • Mathematics
contestada

the sum of six consecutive integers is 387. what is the sixth number in the sequence

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Louli
Louli Louli
  • 07-10-2017
Let the fist number in the sequence be x, we have 6 consecutive numbers. This means that the numbers would be:
x , x+1 , x+2 , x+3 , x+4 and x+5

We know that the sum of these numbers is 387, therefore:
x + x+1 + x+2 + x+3 + x+4 + x+5 = 387
6x + 15 = 387
6x = 372
x = 62

Therefore, the sixth number in the sequence would be : x+5 = 62+5 = 67
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