Ask Question
1 June, 17:14

The sum of 6 consecutive integers is 597

What is the 3rd number in this sequence?

+2
Answers (1)
  1. 1 June, 18:15
    0
    First represent your 6 consecutive integers as follows.

    X ⇒ first integer

    X + 1 ⇒ second integer

    X + 2 ⇒ third integer

    X + 3 ⇒ fourth integer

    X + 4 ⇒ fifth integer

    X + 5 ⇒ sixth integer

    Since their sum is 597, our equation reads

    x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 597.

    Simplifying on the left we get 6x + 15 = 597.

    Now subtract 15 from both sides to get 6x = 582.

    Now dividing both sides by 6, we find that x = 97.

    So our first integer, x, is 97.

    Our third integer would be x + 2 or 97 + 2 which is 99.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The sum of 6 consecutive integers is 597 What is the 3rd number in this sequence? ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers