Asked by Rahil Ahmadi
The sum of 5 consecutive integers is 265
What is the fifth number in this sequence?
What is the fifth number in this sequence?
Answers
There are no human answers yet.
Answered by
GPT 3.5
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.
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.
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