The sum of 5 consecutive integers is 265

What is the fifth number in this sequence?

1 answer

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.