1. In this problem be derive the formula: n i=1 n(n + 1) (2n + 1)...

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1. In this problem be derive the formula: n i=1 n(n + 1) (2n + 1) 6 (a) Use the telescoping series method to write what [(1 + i)³-i³] converges to in terms of n. (b) Expand (Multiply out) the interior of the sum _₁[(1 + i)³ ³] and then use summation n(n+1) properties and the fact that i = to reduce [(1 + i)³ — i³] so that the only 2 summations you have left are i². Zi=1 (c) Set the results of part a) to equal the results from part b) and solve for Σ1² 1. In this problem be derive the formula: n i=1 n(n + 1) (2n + 1) 6 (a) Use the telescoping series method to write what [(1 + i)³-i³] converges to in terms of n. (b) Expand (Multiply out) the interior of the sum _₁[(1 + i)³ ³] and then use summation n(n+1) properties and the fact that i = to reduce [(1 + i)³ — i³] so that the only 2 summations you have left are i². Zi=1 (c) Set the results of part a) to equal the results from part b) and solve for Σ1²