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  • 02-01-2017
  • Mathematics
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The sum of 6 consecutive integers is 387. what is the sixth number in this sequence?

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texaschic101
texaschic101 texaschic101
  • 02-01-2017
6 consecutive integers : x, x + 1, x + 2, x + 3, x + 4, x + 5

the sum is 387...
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 387...combine like terms
6x + 15 = 387
6x = 387 - 15
6x = 372
x = 372/6
x = 62

the 6th number, which is x + 5 is : 62 + 5 = 67 <==
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