Let's call the first integer in the sequence x.
If we keep adding consecutive integers after x, the second integer in the sequence would be x + 1, the third integer would be x + 2, and so on.
Thus, the sum of the 5 consecutive integers would be x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 5x + 10.
Given that the sum of the 5 consecutive integers is 265, we can set up the equation 5x + 10 = 265 and solve for x.
Subtracting 10 from both sides, we get 5x = 255.
Dividing both sides by 5, we get x = 51.
Therefore, the first number in the sequence is 51 and the fifth number in the sequence would be 51 + 4 = 55.
The sum of 5 consecutive integers is 265
What is the fifth number in this sequence?
1 answer