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Question 17 - Prove 1/3.5 + 1/5.7 + 1/7.9 .. + 1/(2n + 1)(2n + 3)
Ex 4.1,17 Prove the following by using the principle of mathematical induction for all n N: 1/3.5 1/5.7 1/7.9 . 1/((2 1)(2 3)) = /(3(2 3)) Let P (n) : 1/3.5 1/5.7 1/7.9 . 1/((2 1)(2 3)) = /(3(2 3)) For n = 1,L.H.S = 1/3.5 = 1/15R.H.S = 1/(3(2(1)
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