t1=0, find the first few terms tn=1/tn-1+2, what is the pattern?

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- Apr 18th 2009, 02:40 PMnithujaawhat is the pattern?
t1=0, find the first few terms tn=1/tn-1+2, what is the pattern?

- Apr 18th 2009, 03:20 PMSoroban
Hello, nithujaa!

Quote:

Given: .

Find the first few terms. .What is the pattern?

The fractions are: .

The numerators form the sequence: .

The denominators are "one step ahead."

For the numerators, we have: .

. . Each term is twice the preceding term, plus the second preceding term.

If you require a "closed form" for the numerators, here it is:

. .

- Apr 18th 2009, 03:39 PMnithujaa
thx..but this question is for data management?..so can i use this method?