Question 9
Exercise 8. If the odd numbers are grouped in the following way:
$$\{1\};\ \{3,5\};\ \{7,9,11\};\ \{13,15,17,19\};\ \ldots$$
what is the middle number in the $101^{\mathrm{th}}$ group?
**Editorial input convention:** Group n contains the next n consecutive positive odd integers, continuing without gaps.
$$\{1\};\ \{3,5\};\ \{7,9,11\};\ \{13,15,17,19\};\ \ldots$$
what is the middle number in the $101^{\mathrm{th}}$ group?
**Editorial input convention:** Group n contains the next n consecutive positive odd integers, continuing without gaps.