# maths

posted by .

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 -

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 -

@Steve: what about this sequence?
64,96,144,216,324

• maths -

the answer is 321

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Math *URGENT

Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646?
2. ### Trigonometry

Let S be the sum of all the possible values of sin x that satisfy the following equation: 5-2cos^2(x)-7sin(x) = 0 S can be written as a/b, where a and b are coprime positive integers. What is the value of a + b?
3. ### math

x and y are real numbers that satisfy the equations x2+y2=125 and x+y=13. What is the sum of all (distinct) possible values of x?
4. ### m

x and y are real numbers that satisfy the equations x2+y2=125 and x+y=13. What is the sum of all (distinct) possible values of x?
5. ### Geometric Progression

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?
6. ### math

Integers a,b,c,d and e satisfy 50<a<b<c<e and a,b,c,d,e from a geometric sequence what is the sum of all possible distinct values of a?
7. ### Math

1) Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain for n?
8. ### Algebra

1) Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain for n?
9. ### Math, Please Help

1) Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain for n?
10. ### Math

1. Find the sum of the first five terms of the sequence 2/3, 2, 6, 18, ..... 2. Is this a geometric sequence?

More Similar Questions