Question

Four different integers form an increasing ap one of these numbers is equal to the sum of the squares of the other three numbers,find the numbers

Answer 1

let the integer be x.

therefore increasing integers are x,x+1, x+2,x+3.

x+1+ x+2+x+3 = x × x

√3x+ 6 = x

therefore the intergers are

√3x+7