I NEED HELP on yet another infinite geometric series problem. Attachment below.

Question

anonymous · Answer

attachment

anonymous · Answer

1 one

anonymous · Answer

@whpalmer4 Maybe you could rescue me on this one too? XD

whpalmer4 · Answer

0.6 with a bar over the 6 represents 0.6666666666666... (2/3)

Which of those also represents that number?

anonymous · Answer

I'm not sure... Maybe D?

whpalmer4 · Answer

Here's a hint: if you wrote all these numbers out to add them up in a column, the correct answer has only one non-zero number per column...no carrying here!

anonymous · Answer

Ohhhhh, so A!

whpalmer4 · Answer

123 =

 100
+ 20
+   3
------
  123 

we have the same thing going on, but the other side of the decimal point.

whpalmer4 · Answer

No, they wrote A specifically to trick people who sort of get it :-)

Look again at where the zeros are...remember, you line up the decimal points when adding or subtracting, not the right end of the number...

anonymous · Answer

I'm not really grasping it :/ I'm thinking it's C because that seems to be the one closest to my last answer, which you said "Tricks people who sort of get it" up.

whpalmer4 · Answer

the answer for A is 
0.6 + 0.60 + 0.600 + ...

If we add those in a column:

 0.6
 0.60
 0.600
 0.6000
----------
 2.4000

right?

what we want is 
 0.6
 0.06
 0.006
 0.0006
-------
 0.6666 ...

anonymous · Answer

Ohhhhhh so it is C. Okay, gotcha!