Home

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that numbers

Solution:
Your problem `->` For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that numbers


Let the terms are `a-d, a, a+d`

Addition of this terms is `15`

`=> (a-d) + a + (a+d) = 15`

`=> 3 a = 15`

`=> a = 15/3 = 5`

Addition of their square is `83`

`=> (a-d)^2 + a^2 + (a+d)^2 = 83`

`=> a^2 - 2ad + d^2 + a^2 + a^2 + 2ad + d^2 = 83`

`=> 3a^2 + 2d^2 = 83`

`=> 3(5)^2 + 2d^2 = 83`

`=> 2d^2 = 8`

`=> d^2 = 4`

`=> d = +- 2`

`d = +2 =>` Required terms : `5 - 2, 5, 5 + 2 => 3, 5, 7`

`d = -2 =>` Required terms : `5-(-2), 5, 5-2 => 7, 5, 3`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends, if solutions are helpful to you.
 
Copyright © 2019. All rights reserved. Terms, Privacy