Suppose we are given a sequence of numbers x1, x2, x3, …,xn,… Have the following properties: x1 = 2 and xn+1 = 2n/(n+1) xn for all n Є N Use Mathematical induction to prove that xn = (2^n)/n for all n Є N Thanks in advance
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Originally Posted by lisaak Suppose we are given a sequence of numbers x1, x2, x3, …,xn,… Have the following properties: x1 = 2 and xn+1 = 2n/(n+1) xn for all n Є N Use Mathematical induction to prove that xn = (2^n)/n for all n Є N Thanks in advance Hello, lisaak, I assume that you know mathematical induction. Step 1: n = 1 so is true. step 2: Assume that is true. step 3: Induction . Rearrange: EB
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