perplexus.info :: Numbers : Sum Fractional Ratios

Sum Fractional Ratios (Posted on 2023-08-07)

Determine the value of M when:

M = (3²+1)*(3²-1)^-1+(5²+1)*(5²-1)^-1+(7²+1)*(7²-1)^-1+......+ (999²
+1)*(999²-1)^-1

See The Solution Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Analytic Solution

| Comment 3 of 4 |

(In reply to Analytic Solution by Brian Smith)

I think Brian meant to write

Then we have [1 + 1/2 - 1/4] + [1 + 1/4 - 1/6] + [1 + 1/6 - 1/8] + ... + [1 + 1/998 - 1/1000]

Posted by Steve Herman on 2023-08-07 15:50:38

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info