'Consider the sequence of sums 1, 1 + 2 1 + 2 + 3 1 + 2 +3+4,1+2+3 +4 +5, What happens to the terms of this sequence of sums as k gets larger and larger? (b) Find sufficiently large value of k that will guarantee that every term past the kth term of this sequence of sums IS greater than 1000.'