(1/50-1)(1/49-1)(1/48-1).(1/4-1)(1/3-1)(1/2-1) Simple algorithm! Fast! Detailed process!

(1/50-1)(1/49-1)(1/48-1).(1/4-1)(1/3-1)(1/2-1) Simple algorithm! Fast! Detailed process!

(1/50-1)(1/49-1)(1/48-1).(1/4-1)(1/3-1)(1/2-1)= (-1)^49 * (1-1/50)(1-1/49)...(1-1/2)= (-1) * (49/50)(48/49)...(2/3)(1/2)= (-1) * (49*48*.*2*1)/(50*49*48*.*3*2)= (-1) * (1)/(50)= -1/50

Find 1 + 2 + 3 + 4 + +What is the sum of 48 + 49 + 50?

It should be 1275 arithmetic sequence formula: n * (n + 1) / 2
(1+50)*50/2=1275

Mathematical calculation problem (urgent!): 1 / (1 * 2 * 3) + 1 / (2 * 3 * 4) + +1/(48*49*50)=
I said I was in a hurry. Don't prompt me. Your prompt is not that I didn't expect it, but that I didn't find it. I want the whole answer

Here's a hint:
Sum of split terms
1/n(n+1)(n+2) 1