Uncategorised question #4
Let $$x= 0.\dot{1}\dot{7} + 0.0\dot{1}\dot{7} + 0.00\dot{1}\dot{7} +...$$, find the value of x.
* there are dots on the number 1 and 7
* Once again, no caluclator

Question

Uncategorised question #4
Let $$x= 0.\dot{1}\dot{7} + 0.0\dot{1}\dot{7} + 0.00\dot{1}\dot{7} +...$$, find the value of x. 
* there are dots on the number 1 and 7
* Once again, no caluclator

experimentx · Answer

GS

experimentx · Answer

a = 0.17
r = 1/10

callisto · Answer

First term = 17/99
r = 1/10
Sum = 17/99 / (1-1/10) = 17/99  / (9/10)
                                        = 170/891 ?

anonymous · Answer

attachment

experimentx · Answer

i  thought first tern is 17/100

experimentx · Answer

nice technique ...

callisto · Answer

17/99
It's recurring decimal, but I don't know how to type it out :|

callisto · Answer

I got the answer though. Thanks! :)
(The solution given by my teacher few years ago was wrong.. no wonder why I can't get his answer :| )

experimentx · Answer

lol .. you remember solution of few years ago ... you've got quite a memory!!

callisto · Answer

Not remember, I just marked down the final answer on the paper :|