# Re: guess I'll throw in my 2 cents' worth!

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Posted by Denis Borris on September 18, 2002 at 21:54:30:

In Reply to: Re: guess I'll throw in my 2 cents' worth! posted by T.Gracken on September 18, 2002 at 17:59:36:

: I am not convinced...

not convinced of what?

: Given any sequence, you can determine the difference between any two terms and list them.
: take the (Fibonacci) sequence 1, 1, 2, 3, 5, 8, 13, 21, ...
: We can list the differences: 0, 1, 1, 2, 5, ... {wow, same sequence with a new starting value!).
: But, unless by formula you mean just write all terms added, such as 1+1+2+3+5+8+... then I need some more tutoring (which is not unlikely).

WHAT I SAID IS: you keep subtracting until you get a COMMON difference;
if there is none, then there is NO sum formula; so the Fibby sequence does
NOT have a SUM formula...but the squares do:
1..4..9..16..25....
..3..5..7...9...
....2..2..2..... = COMMON DIFFERENCE

and from this the formula for sum of squares is derived: see my post to Mr K below...

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