Question 78
The real numbers $a_1,a_2,\ldots,a_{16}$ satisfy
$$
\sum_{i=1}^{16}a_i=100\quad\text{and}\quad\sum_{i=1}^{16}a_i^2=1000.
$$
What is the largest possible value of $a_{16}$?
$$
\sum_{i=1}^{16}a_i=100\quad\text{and}\quad\sum_{i=1}^{16}a_i^2=1000.
$$
What is the largest possible value of $a_{16}$?