Question

The sum of 6 consecutive integers is 387. What is the sixth term in the sequence

Answer 1

62,63,64,65,66,67
6th term:67

Answer 2

We'll call our first integer n. Since the six integers are consecutive, we have:


`n+(n+1)+(n+2)+(n+3)+(n+4)+(n+5)+(n+6)=387`

`6n+21=387`

`6n=366`

`n=61`

So the first integer is 61. Then the sixth integer would be 67, since it's just the first plus six.