What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (24^2 – 1))
Choose the correct choice:
A) a. 9/19
B) b. 10/19
C) c. 12/25
D) d. 11/21
E) e. 11/19
it can be written into   1/3+1/15+ 1/35.....1/575   i.e   1/3+1/2*(1/3-1/5)+1/2*(1/5-1/7).... til last term - 1/2*(1/25)   all terms from 1/5 .. to second last term get cancelled   left with   1/3+1/6-1/50=1/2-1/50=24/50=12/25 c. 12/25
<result>C</result>
What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (24^2 – 1))