Answer:
99
Step-by-step explanation:
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
each term can be written as:
- (a²- b²)/(a+b)= (a+b)(a-b)/(a+b)= a-b
so the sum will look as:
- 99 -98+ 98- 97 + 97- 96 + ... +2- 1= 99-1= 98
(all middle terms get cancelled leaving only 99 and -1 in the equation)
