Question: Question 1. Let n E N and suppose the digits of n are amam-1 . . . aza] for a1, a2, . .., am E

Question 1. Let n E N and suppose the digits of n are amam-1 . . . aza] for a1, a2, . .., am E {0, 1, 2, ...,9} (e.g. for n = 32149, we have m = 5, a1 = 9, a2 = 4, a3 = 1, a4 = 2, and a5 = 3). Prove that 11 if and only if m 11| [ ak (- 1) k - 1 (where (-1)0 = 1). Using the above, is 6897347914865012 divisible by 11? Prove your

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