Use the Second Principle of Finite Induction to establish that for all n is greatre than or equal to 1, a^(n) - 1 =(a - 1)(a^(n-1) +a^(n-2) +a^(n-3) +···+ a+1) [Hint: a^(n+1) - 1 =(a+1)(a^(n) - 1) - a(a^(n-1) - 1). ]

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A: we have to show 11k - 4k  is divisible by 7 By using mathematical inductions.

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