Algebra
# Arithmetic Progressions

If the $4$ numbers

$14,\quad a,\quad 28,\quad b$

form an arithmetic progression in that order, what is the sum of $a$ and $b?$

$108\text{ m}$ deep. It climbs up the well $3\text{ m}$ during the daytime and slips down $1\text{ m}$ at nighttime. What is the number of days it takes for the frog to be out of the well?

A frog is on the bottom of an empty well