Evalute This Equation... Tolong y

jawab

= 1/3 +1/6 + 1/10 + 1/15 + ...+1/5050
= 1 + [1/3 + 1/6 + 1/15 + ...+1/5050] - 1
= 2/2 + 2/6 + 2/12 + 2/30 + ...+ 2/5050  -1
= 2 (1/2 + 1/6 + 1/12 + 1/30 + ...+ 1/5050) - 1
= 2 [(1 - 1/2) + (1/2-1/3) + (1/3 -1/4) + (1/4 - 1/5) + ....+(1/100 - 1/101)] -1
= 2 [ 1 - 1/2 + 1/2 - 1/3 + 1/3 + 1/4 - 1/4 + 1/5 + ..+1/100 - 1/101] - 1
= 2 [1 - 1/101] - 1
= 2[100/101] - 1
= 200/101  - 1
= (200 - 101)/(101)
= 99/101