perplexus.info :: Just Math : Sequence Group IV

Sequence Group IV (Posted on 2010-09-29)

Four positive integers P, Q, R and S with P < Q < R < S are such that P, Q and R (in this order) are in geometric sequence and Q, R and S (in this order) are in harmonic sequence.

Given that S - P = 40, determine all possible quadruplet(s) (P, Q, R, S) that satisfy the given conditions.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

(P, Q, R, S) = (50, 60, 72, 90)
For an explanation, refer to the solution submitted by Steve Herman in this location.

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

Subject	Author	Date
reached somewhere (spoiler)	Steve Herman	2010-09-30 22:46:51
had a go and reached nowhere	Vishal Gupta	2010-09-30 16:30:50

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