Posted by shiv on Monday, June 17, 2013 at 4:56am.
Integers a, b, c, d and e satisfy 50<a<b<c<d<e<500, and a,b,c,d,e form a geometric sequence. What is the sum of all possible distinct values of a?

maths  Steve, Monday, June 17, 2013 at 5:00am
500 = 50r^6
r^6 = 10
Since r is irrational, and no power of 5 less than 6 is rational, there are no integer values between 50 and 500.

maths  Phu, Monday, June 17, 2013 at 12:49pm
@Steve: what about this sequence?
64,96,144,216,324

maths  Ashok, Saturday, June 22, 2013 at 1:58am
the answer is 321
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