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SEAMO 2027 - Paper F - SET 04 - Self-study Question 19

SEAMO · SEAMO 2027 - Paper F - SET 04 - Self-study

Question 19

Find the sum
$$\frac1{1+1^2+1^4}+\frac2{1+2^2+2^4}+\frac3{1+3^2+3^4}+\cdots+\frac{50}{1+50^2+50^4}.$$
  1. $1/50$
  2. $1275/2551$
  3. $51/2500$
  4. $1275/2501$
  5. None of the above