0.121122111222... if the pattern continues, is this a repeating decimal? why or why not?
Well it doesn't really repeat, it simply continues with ascending decimals (1,2 11,22 111,222 1111,2222) it's not really repeating.
Repeating would be more like 0.111111111111111111
0.121122111222... has a pattern. But, there is no finite repeating block of the same numbers. 0.121212121212.... has a pattern AND a finite repeating block of the same numbers; in this case, "12"
Exactly! The pattern is there but no real repetition
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