Question: 9. Using mathematical induction, prove that any decimal number, whose sum of digits is divisible by three, is itself divisible by three as well. (For

 9. Using mathematical induction, prove that any decimal number, whose sum

9. Using mathematical induction, prove that any decimal number, whose sum of digits is divisible by three, is itself divisible by three as well. (For example: for 1125 , the sum of digits is: 1+1+2+5=9, which is divisible by three. And, 1125 itself is also divisible by three: 3375.) a) What is a base case? b) What is the induction hypothesis? c) What is the induction step? d) How do you prove the induction step

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