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 numbersSolution:Your problem -> For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that numbersLet the terms are a-d, a, a+dAddition of this terms is 15=> (a-d) + a + (a+d) = 15=> 3 a = 15=> a = 15/3 = 5Addition 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 = +- 2d = +2 => Required terms : 5 - 2, 5, 5 + 2 => 3, 5, 7d = -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