Question 158
The set of positive integers is divided into subsets in the following way:
$$
\{1, 2\}, \{3, 4, 5\}, \{6, 7, 8, 9\}, \{10, 11, 12, 13, 14\}, \dots
$$
a) Find the smallest element of the 100th subset.
b) Is 2015 the largest element of such a subset?
$$
\{1, 2\}, \{3, 4, 5\}, \{6, 7, 8, 9\}, \{10, 11, 12, 13, 14\}, \dots
$$
a) Find the smallest element of the 100th subset.
b) Is 2015 the largest element of such a subset?