Question discussion

If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)?

167365Medium 2 replies 804 views
14
If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)?
  • Ak/2
  • B2k
  • C(k - 1)/2
  • D(k + 1)/2
Answer not set
0
CCommunity
(k-1)/2
0
CCommunity
(1/2)+(1/30)+.............+(1/20)=k-1

and this series becomes 1/(n+1).........=k-1 now this is eq1

now take the other given condition:

(1/4)+(1/6).....+(1/20) now this equals to 1/(2n+2) which we can writw that

1/2(n+1) which is 1/2 times of eq 1.

so the answer is (k-1)/2