The given series can be written as:
1/2 + 1/6 + 1/12 + 1/20 + ... + 1/9900

To find the sum of this series, we can first simplify the fractions:

1/2 = 3/6
1/6 = 1/6
1/12 = 1/12
1/20 = 1/20

Now, we can rewrite the series as:
3/6 + 1/6 + 1/12 + 1/20 + ... + 1/9900

Combining like terms, we get:
4/6 + 1/12 + 1/20 + ... + 1/9900
= 2/3 + 1/12 + 1/20 + ... + 1/9900

Now, we can add the fractions:
2/3 + 1/12 + 1/20 + ... + 1/9900
= 0.99

Therefore, the sum of the series is 0.99.