perplexus.info :: Sequences : Given the term, find the number

Given the term, find the number (Posted on 2008-02-15)

The sequence of numbers {Q(m)} is defined recursively by the following relationships:

Q(1) = 1, and:
Q(m) = 1 + Q(m/2), whenever m is ≥ 2 and even, and:
Q(m) = 1/Q(m-1), whenever m is ≥ 3 and odd.

Determine the value of d, given that Q(d) = 19/87

Submitted by K Sengupta

Rating: 4.0000 (3 votes)

Solution: (Hide)

The required value of d is 1905.

Explanation:

Refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
Interesting Function!	Steve Herman	2008-02-18 10:50:17
By using continued fractions..	FrankM	2008-02-16 12:11:57
solution	Eigenray	2008-02-16 03:41:53
No Subject	Dej Mar	2008-02-15 13:47:13
solution	Charlie	2008-02-15 13:12:30

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