We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+4
172
2
avatar+322 

If \(k=\frac{1}{1+2x}\) , where x is an integer greater than 1 and k can be represented as a terminating decimal, find the sum of all possible values of k.

 Feb 27, 2019
 #1
avatar
+2

k forms an infinite sequence with:

First term =1 / 5

Common ratio =1/5

Sum =F / (1 - R)

Sum =1/5 / (1 - 1/5)

Sum =1/5 / (4/5)

Sum =1/5 x 5/4

Sum = 5 / 20

Sum = 1 / 4

 Feb 27, 2019
 #2
avatar+322 
+4

thank you guest. that was very helpful

 Mar 4, 2019

24 Online Users

avatar
avatar