Math

If a, b, and c are three integers in geometric progression, prove that the number a^2+b^2+c^2 is exactly divisible by the number a+b+c.

  1. 👍 0
  2. 👎 0
  3. 👁 49
asked by Lina

Respond to this Question

First Name

Your Response

Similar Questions

  1. Help w/ Math PLS

    If a, b, and c are three integers in geometric progression, prove that the number a^2+b^2+c^2 is exactly divisible by the number a+b+c.

    asked by Lina on May 7, 2014
  2. Algebra/Number Theory

    In a sequence of four positive numbers, the first three are in geometric progression and the last three are in arithmetic progression. The first number is 12 and the last number is 452. The sum of the two middle numbers can be

    asked by John Berkhamp on July 23, 2013
  3. Math (Geometric Progression)

    5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note:

    asked by Shin on June 22, 2013
  4. Math

    5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note:

    asked by Shin on May 11, 2013
  5. plz sequence sir steve reiny bob damon i need u

    The three real,distint and non-zero numbers a,b,c are such that a,b,c are in arithmetic progression and a,c,b are in geometric progression. Find the numerical value of the common ratio of the geometric progression.. Hence,find an

    asked by pooo on January 6, 2017
  6. math

    1) If the number 1,1/3,1/9, are terms of Geometric progression. Find its common ratio 2) If the second term of Geometric progression is equal to 3, and the 5th term is equal to 81/8. Find the 7th term. 3)If x,y,3 is a Geometric

    asked by bogoss on March 12, 2011
  7. math

    The third,sixth and seventh terms of a geometric progression(whose common ratio is neither 0 nor 1) are in arithmetic progression. Prove dat d sum of d first three is equal to d fourth term

    asked by toyinbo on March 6, 2015
  8. Math

    The third, fifth and seventeenth terms of an arithmetic progression are in geometric progression. Find the common ratio of the geometric progression.

    asked by Gustav on August 26, 2015
  9. MATHEMATIC DEPARTMENT

    The second, third and ninth terms of an arithmetic progression forms the first, second and third terms of a geometric progression. Find the common ratio and hence the eleventh term of geometric progression.

    asked by Mr. Bett on April 20, 2015
  10. algebra

    three numbers are in harmonic progression. If the third number were decreased by 4 they would be in arithmetic progression. If the third number were decreased by 3 they would be in geometric progression. Find the third term of the

    asked by Ginotomba on April 18, 2016

More Similar Questions