Answer:
Step-by-step explanation:
The number of terms:
Each term is greater than 1, so the expression is greater than 16:
- 2150/2005 = 1 + 145/2005
- 2150/2006 = 1 + 144/2006
- ...
- 2150/2020 = 1 + 130/2020
It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.
The sum is:
- S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17
So the largest integer not greater than S is 17.
