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

Algebra.Com
Question 1200316: Find the sum of the series:
https://ibb.co/BZyKxDK
Thanks!!

Answer by greenestamps(13200)   (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

, , , , ...

Those are equivalent to

, , , , ...,

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



ANSWER: 2475


RELATED QUESTIONS

Find the sum of the following series: (answered by ikleyn,math_tutor2020)
Find the area of this figure... (answered by Edwin McCravy)
Find the value of: https://ibb.co/0hBZVKf (It's an finitely going sum!) (answered by ikleyn)
Find the area of the kite I got the answer 156.16cm https://ibb.co/ch1SdtSh... (answered by Edwin McCravy,ikleyn,mccravyedwin)
In the diagram below, find the measure of Angle BFD. Diagram:... (answered by ikleyn)
In the diagram, find the measure of Angle ∠BFD.... (answered by math_tutor2020)
In the diagram, find the measure of ∠ BFD.... (answered by ikleyn)
Find the area of the following triangle, in cm2:... (answered by ikleyn)
Find the area of the shaded region.... (answered by Edwin McCravy)