Assuming the sequence given here is repeated, then we can calculate that day 1 = 1 apple; day 2 = 3 apples, and day 3 = 2 apples
That sequence gives 5 apples in 3 days. If that sequence is repeated, namely 5 apples each 3 days, then we can set up a proportion to calculate the answer.
The proportion is 5 apples is to 3 days as 170 apples is to X days.
5 apples/3 days = 170 apples/X days
After cross multiplication, 5 apples · X days = 170 apples · 3days
Which yields 5 apples · X days = 310 apples days
When we divide both sides by 5 apples, we get 102 days
