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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