perplexus.info :: Sequences : Arithmetic and Geometric Addle

Arithmetic and Geometric Addle (Posted on 2014-10-10)

(A) Find two positive integers x and y, such that:
(i) y divides x, and:
(ii) x/y, x+y and x*y are in arithmetic sequence.

(B) Keeping all the other conditions in (A) unaltered, what would the value of x and y be, if clause (ii) is rewritten as:
x/y, x-y and x+y are in geometric sequence?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) (x,y)=(8,2)
(B) (x,y)=(9,3), (12,6)
For an explanation, refer to the solution submitted by Art M in this location.

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

Subject	Author	Date
Addle is not a noun.	Ady TZIDON	2014-10-11 20:50:22
Solution	Art M	2014-10-10 22:17:10
computer solution	Charlie	2014-10-10 14:55:13

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