SOLUTION: Find the sum of the series: https://ibb.co/BZyKxDK Thanks!!

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Question 1200316: Find the sum of the series:
https://ibb.co/BZyKxDK
Thanks!!
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The numerators are the triangular numbers:
1
1+2=3
1+2+3=6
1+2+3+4=10
...

The denominators are consecutive integers.

The terms of the sequence are then

1%2F2 , 3%2F3 , 6%2F4 , 10%2F5 , ...

Those are equivalent to

1%2F2, 2%2F2, 3%2F2, 4%2F2, ..., 99%2F2

The sum of all the terms is then the sum from n = 1 to 99 of (n/2):

sum%28n%2F2%2C1%2C99%29=%28%281%2F2%29%28%2899%2A100%29%2F2%29%29=99%2A25=2475

ANSWER: 2475