Question

Is .121221222122221... (the pattern in this number continues forever) a rational number or irrational number? Why?


(my research is listed in a previous question post, but I'm stuck!!! Please help!) :-)

Answer 1

Each term 0.12, 0.00122, 0.000001222, 0.00000000012222, ...
is a rational number. When continued forever and added together, it does not have to be a rational number.

Another example:

1, 1/3, 1/5, 1/7, 1/9, ... are all rational numbers.
If we look at the sum
S = 1 - 1/3 + 1/5 - 1/7 + 1/9 - ....
S equals π/4, a known irrational number.

In fact, a non-recurring decimal number is considered an irrational number.
See:
http://en.wikipedia.org/wiki/Irrational_number

Answer 2

you have to put in the division,addition,sub., or whatever to answer this...(44,8,74,21,4)=10

Answer 3

Camy,
It is not a good idea to piggyback a question on someone else's question. It may get ignored or overlooked.
As there are no replies yet, I suggest you repost the question as a new thread.
Thank you.