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

## Answer this Question

## Related Questions

- Geometric Progression - Integers a, b, c, d and e satisfy 50<a<b<c<d...
- math - Integers a,b,c,d and e satisfy 50<a<b<c<e and a,b,c,d,e from ...
- Math - 1. Find the sum of the first five terms of the sequence 2/3, 2, 6, 18...
- Math *URGENT - Please give the answers and solutions for each. 1.If the second ...
- m - x and y are real numbers that satisfy the equations x2+y2=125 and x+y=13. ...
- math - x and y are real numbers that satisfy the equations x2+y2=125 and x+y=13...
- Math, Please Help - 1) Given the arithmetic sequence an = 4 - 3(n - 1), what is ...
- Trigonometry - Let S be the sum of all the possible values of sin x that satisfy...
- Algebra - 1) Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain...
- Math - 1) Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain ...