Question

The sum of 6 consecutive integers is 387. What is the sixth number in this sequence?

Answer 1

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Answer 2

Concept-

Let the six numbers be x , x+1, x+2, x+3, x+4, x+5 , then add all the numbers and get the value of x and then find the sixth number in the sequence.

Given-

The sum of 6 consecutive integers is 387.

Find-

Find the sixth number in this sequence.

Solution-

Let the six numbers be x , x+1, x+2, x+3, x+4, x+5

We know that , the sum of 6 numbers are 387

So, x+x+1+x+2+x+3+x+4+x+5

6x + 15 = 387

6x = 387 - 15

6x = 372

x = 62

∴(x+5) = (62+5) = 67

Therefore, in this sequence, the sixth number is 67.

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