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Going Greatest With Arithmetic, Geometric And Harmonic (Posted on 2008-03-22) Difficulty: 2 of 5
(A) Determine all possible non zero real P such that {P}, [P] and P are in arithmetic sequence.

(B) Determine all possible non zero real Q such that {Q}, [Q] and Q are in geometric sequence.

(C) Determine all possible non zero real R such that [R], {R} and R are in geometric sequence.

(D) Determine all possible non zero real S such that {S}, [S] and S are in harmonic sequence.

Note: [x] is defined as the greatest integer ≤ x and {x} = x - [x]

  Submitted by K Sengupta    
Rating: 2.0000 (2 votes)
Solution: (Hide)
(A) P = 1.5

(B) Q = 1.61803 (correct to 5 places of decimals)

(C) R = -0.38197 (correct to 5 places of decimals)

(D) S = 1.70711 or -0.29289 (correct to 5 places of decimals)

EXPLANATION:

Refer to the solution submitted by Praneeth in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Full SolutionK Sengupta2008-04-06 12:25:59
SolutionFull SolutionPraneeth2008-03-24 03:39:36
re(2): solutionsCharlie2008-03-23 10:25:17
re: solutionsDej Mar2008-03-23 01:48:52
SolutionsolutionsCharlie2008-03-22 15:17:21
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