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sum_of_squares

Language/Type: PHP recursion return

Write a recursive function named sum_of_squares that accepts an integer parameter $n and returns the sum of squares from 1 to $n. For example, the call of sum_of_squares(3) should return 12 + 22 + 32 = 14.

If your function is passed 0, return 0. If passed a negative number, your function should throw an Exception with the message, "Error: argument must be a non-negative number".

Constraints:

  • Do not declare any global variables.
  • Do not use any loops; you must use recursion.
  • Do not use any auxiliary data structures (e.g. arrays) or strings to solve this problem.
Function: Write a PHP function as described, not a complete program.

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