Question: n(n+ 1) 2 5 ) for the positive integer n. Let An) be the statement that P+224+ 334+ . +a'= ( Complete the inductive step,


n(n+ 1) 2 5 ) for the positive integer n. Let An) be the statement that P+224+ 334+ . +a'= ( Complete the inductive step, identifying where you use the inductive hypothesis. Complete the inductive step, identifying where you use the inductive hypothesis. (You must provide an answer before moving to the next part.) Multiple Choice O Replacing the quantity In brackets on the left-hand side of part (c) by what it equals by virtue of the Inductive hypothesis, we have (1(1+1) + (k + 1)3 - (k+1)3(12+ak+1 )=[k+1)(k+2) as desired. O Replacing the quantity In brackets on the left-hand side of part (c) by what it equals by virtue of the Inductive hypothesis, we have (1( + 1) ) + ( k + 1)3 - (k+ 1)2(1+ak+ - 4k+4 ) = ( ( * + 1 ) ( * + 2 ) ) as desired. O Replacing the quantity In brackets on the left-hand side of part (c) by what it equals by virtue of the Inductive hypothesis, we have (1(*+1) ) + (k + 1)2 = (k+1)2 (12+ak+1 ) = ([k+1)(1+2) \\2 as desired. O Replacing the quantity In brackets on the left-hand side of part (c) by what it equals by virtue of the Inductive hypothesis, we have -2 ) + ( k + 1) ? = ( k + 1) ? ( 12+ak+4 ) " ( [ k+1)(k+2) ) as desired
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