Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the squares of the last 2 numbers.

  1. 0
  2. 0
  3. 15
asked by Sam
  1. let the numbers be x-2, x-1, x, x+1, x+2
    Then you know that
    (x-2)^2 + (x-1)^2 + x^2 = (x+1)^2 + (x+2)^2
    Now find x, and you have the middle number.

    1. 0
    2. 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The sum of the squares of three consecutive whole numbers is 77. Form a quadratic equation and hence solve it to determine the numbers. (Hint: let the three consecutive numbers be x, x+1 and x+2)

    asked by Alyssa on December 8, 2014
  2. math

    the sum of the squares of two consecutive numbers is 265. find the numbers

    asked by chevlios on March 3, 2015
  3. Math

    1) for any three consecutive numbers, what can you say about odd numbers and even numbers? Explain. 2 A)Mirari conjectures that, for any three consecutive numbers, one number would be divisible by 3. Do you think Mirari is

    asked by Ali on October 9, 2017
  4. MATH

    The sum of three whole numbers is 193. The smaller two are consecutive integers and the larger two are consecutive even whole numbers.Find the three whole numbers.

    asked by YRIELLE RHAYNE on January 18, 2012
  5. Math

    I have to find the relationship between these sequences, and express a generality. Could you help please. 1 + 3 + 5 + 3 + 1 = 3^2 + 2^2 1 + 3 + 5 + 7 + 9 + 7 + 5+ 3 + 1 = 5^2 + 4^2 1 + 3 + 1 = 2^2 + 1^2 I'm thinking sum of

    asked by charlie on July 30, 2010
  6. Mathematics

    What are consecutive numbers? -The sum of TWO consecutive whole numbers is 99. What are they? -The sum of THREE consecutive whole numbers is 99. What are they? Can someone please show me if there is working out? (if needed)

    asked by Crissy XD on April 30, 2011
  7. Grade 8 Math

    Can you write them in Mathematical/numbers form I'll solve them myself. i don't really get it though i have written the first one in mathematical for but i'm not sure if that's right. 1. When six is subtracted from five times a

    asked by Caroline Sunshine on April 29, 2012
  8. Math

    The sum of two numbers is five. The sum of the squares of the two numbers is thirteen. Find the two numbers. (Enter your answers as a comma-separated list.)

    asked by Irma on May 23, 2016
  9. Math

    The sum of three consecutive even numbers is 36. If x represents the first of the three consecutive even numbers, which equation can be used to find x? a. x(x+1)+(x+2)=36 b. x+(x+1)(x+2)=36 c. x+(x+2)+(x+4)=36 d. x(x+2)(x+4)=36

    asked by AD on January 9, 2011
  10. algebra

    find 3 consecutive integers such that the sum of the squares of the first and second is 2 more than the third

    asked by luke on April 11, 2015
  11. MATH

    A four by four grid of unit squares contains squares of various sizes (1 by 1 through 4 by 4), each of which are formed entirely from squares in the grid. In each of the 16 unit squares, write the number of squares that contain

    asked by mathemagiacian on August 15, 2013

More Similar Questions