Q&A for How to Add Consecutive Integers from 1 to 100

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  • Question
    What is the total if I add up all numbers from 1 to 300?
    Donagan
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  • Question
    What are the consecutive numbers that add up to 100?
    Community Answer
    You need to know how many consecutive numbers you are looking for and then use algebra to solve. For example, if you know you are looking for 5 numbers, you would set up the equation x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 100. Then, simplify: 5x + 10 = 100; 5x = 90; x = 18. So, the five consecutive numbers are 18, 19, 20, 21, and 22.
  • Question
    The sum of four consecutive numbers is 50. What is the second number?
    Community Answer
    Let n be the first number, so that (n + 1) is the number you're looking for. The problem can be stated as (n) + (n+1) + (n+2) + (n+3) = 50. Combining terms, 4n + 6 = 50. Then 4n = 44, and n = 11. That means the number you're looking for is 12.
  • Question
    What are two consecutive whole numbers whose sum is 151?
    Community Answer
    Let n be the first number and (n+1) the second number. Then (n) + (n+1) = 151. Combining terms, 2n + 1 = 151. Then 2n = 150, and n = 75. So the two numbers are 75 and 76.
  • Question
    The length of the edge of a cube is represented by x+1. What is the volume of the cube in terms of x?
    Community Answer
    The volume is (x + 1)³ = (x + 1)(x + 1)(x + 1) = x³ + 3x² + 3x + 1.
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