This is from the UKMT Senior Challenge of 1999.
What is the sum to infinity of the convergent series
A_7/4_____B_2_____C_√5_____D_9/4_____E_7/3”
See Fibonacci Fandango for a solution.
Meditations on Mathematics
A compendium of puzzles, problems, math inquiries, and math commentary.
This is a very nice problem 🙂
I claim my solution is a bit simpler to understand, especially for those not so familiar with the big-sigma notation.
https://aplusclick.org/t.htm?q=14244