Beautiful Progression!

Algebra Level 3

Four different integers form an increasing Arithmetic Progression. One of its term is equal to sum of squares of rest three . Let \(a,b,c,d\) denote the terms of the progression in ascending order.


\[x=a \text( First Term) \\ y= (b-a = c-b = d-c)\text( Common Difference Of Progression) \\ z = a+b+c+d \text( Sum Of Terms) \\ w = abcd \text( Product Of Terms)\]

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The problem is not original.


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