What is the split term method, for example: how to calculate 1 / 3 + 1 / 15 + 1 / 35 + 1 / 63 + 1 / 99?

What is the split term method, for example: how to calculate 1 / 3 + 1 / 15 + 1 / 35 + 1 / 63 + 1 / 99?

Original formula = 1 / 2 × (1-1 / 3 + 1 / 3-1 / 5 + 1 / 5-1 / 7 + 1 / 7-1 / 9 + 1 / 9-1 / 11)
=1/2×(1-1/11)
=5/11