(b)(i) Use Mathematical Induction to prove that for all positive integers n 21 1 1. 1 一 -十 +... 1x3 3x5 5x7 (2n-1)x(2n+1) 2n+1 (ii) Find in simplest fractional form the value of 1 1 ... 11x13 13x15 15x17 119x121

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Q: Ci) Use the method of Mathematical Induction to show that for all positive integer values n21,…

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Q: 1.-Proof by mathematical induction that 5 + 9 + 13 + ··· + (4n + 1) = n(2n + 3) ...

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Q: Compute ⌈x⌉ and ⌊x⌋ for the following value of x. − 41/5 ⌈x⌉=     ⌊x⌋=

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Q: (a) Which primes can divide n² + 1 for some n? a 30000 40 AT & opinip ad seppo 90.4/3 (4) рро t' for…

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Q: Prove that n3 + 2n is divisible by 3 for all n E N.

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Q: Problem 8 (Mathematical Induction – : Let P(n) be the statement: "1/(1 × 3) + 1/(3 × 5) + ... +…

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Q: Use the principle of mathematical induction to establish the given formula. n(n + 1)(2n + 7) Ek(k +…

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Q: Using mathematical induction, prove that this equation holds for any n 2 1: n(n + 1)(n + 2) 1x 2+ 2…

A: Follow the process below and use induction first replace n with k and then n with k+1.