Use the principle of mathematical induction to show that the given statement is true for all natural numbers n. 11 +23+35+ +(12n-1)=n(6n +5) to prove that 11 +23+35++(12n-1) = n(6n + 5) is true for all natural numbers n, first show that this statement is true for n simplify each side of the statement for the appropriate value of n. 11 +23+35+ . . +(12n-1) = n(6n+5) = what is the next step in this induction proof? o a. determine whether the statement holds for some k. if so, it also holds fork+1 ob. assume the statement holds for some k, and determine whether it then holds for k +1. o c. assume that the statement holds for k=1, and determine whether it holds for k=2. od. determine whether the statement holds for any number + 1 write the given statement for k + 1. click to select your answer(s). copyright © 2019 pearson education inc. all rights reserved. terms of use privacy