perplexus.info :: Sequences : Ti-1 + 2*(Ti-1)-1 = 2*Ti + (Ti)-1

T_i-1 + 2*(T_i-1)^-1 = 2*T_i + (T_i)^-1 (Posted on 2009-09-20)

{T₀, T₁, T₂,..., T₁₉₉₅} is a sequence of positive real numbers with T₀= T₁₉₉₅, that satisfies this set of equations:

T_i-1 + 2*(T_i-1)^-1 = 2*T_i + (T_i)^-1, for all i=1, 2,...., 1995

Determine the maximum value of T₀.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The maximum value of T₀ is 2⁹⁹⁷
. For an explanation, refer to the solution submitted by Daniel in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: a start	K Sengupta	2024-05-19 23:31:09
a start	Daniel	2009-09-20 15:27:47

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