Use mathematical induction to prove the formula for all integers n ≥ 1. 1 + 6 + 11 + 16 + ... + (5n-4)=(5n - 3). Find S₁ when n = 1. S₁ = Assume that Sk = 1 + 6 + 11 + 16 + ... + (5k − 4) = ½ (5k − 3). Then, Sk+ 1 = Sk+ªk+ 1 = (1 + 6 + 11 + 16 + ... + ak+1= Use the equation for ak + 1 Sk+1= (5k − 4)) + ªk + 1* and S to find the equation for Sk + 1* k Is this formula valid for all positive integer values of n? Yes No

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