Question 199930: I want to know the difference between a sequence and a progression. Are these two different from a pattern? Can you cite some examples. Is 1,11,111,1111,.... a sequence or a pattern. Are all sequences patterns or it is the other way.Similarly are all sequences progressions or it is the other way.
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website! I want to know the difference between a sequence and a progression.
A progression is a sequence in which the terms get successively larger.
Are these two different from a pattern? Can you cite some examples. Is 1,11,111,1111,... a sequence or a pattern.
Well, the sequence of 9 times each term is
9,99,999,9999,...
And each term of that is one less than each term of this sequence
10,100,1000,10000...
which is the sequence with nth term 
So the sequence 9,99,999,9999,... has nth term 
And each term of the desired sequence 1,11,111,1111,...
is  th of the coresponding term of that,
So the desired sequence is 
It is both a pattern, progression and a sequence.
Are all sequences patterns or it is the other way.
Similarly are all sequences progressions or it is the other way.
It's the other way around, all progressions are sequences.
But not all sequences are progressions begause not all sequences
get larger and larger(i.e., progress).
Edwin
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