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

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07-10-2017
Mathematics

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

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Louli Louli · Answer 1 · 2017-10-07T22:51:27+02:00

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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