ok.. great question

find the sum of the series , and the squares of the elements in the series

Let Sum = S
      Sum of squares = P

now find the sum of the of all numbers from 1... (n+2) and their squares,

Let these be

        A= (n+2)(n+3)/2                         (for n = (n)(n+1)/2)
        B= (n+2)(n+3)(2n+5)/6                (for n = (n)(n+1)(2n+1)/6)

therefore, v can deduce that

     X + Y = A - S
    X^2 + Y^2 = B - P

you got 2 equations, solve them

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