# Math

if (3-a) 6(2-5a) are conservative terms of a GP with common ratio r>0.
find the value of a

1. 👍 0
2. 👎 0
3. 👁 50
1. I will assume you meant to say:
3-a , 6, and 2-5a are consecutive terms of a GP,

(3-a)(2-5a) = 36
6 -17a + 5a^2 - 36 = 0
5a^2 - 17a - 30 = 0
a = (17 ± √889)/10

1. 👍 0
2. 👎 0

## Similar Questions

1. ### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term

asked by kartik hans on May 24, 2014
2. ### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term

asked by kartik hans on May 23, 2014
3. ### math!

determine two geometreic sequences whose first terms are 18x-9, 2x+8 and x-1 how would I go about and do this question? I have no idea! so a little help would be really helpful! thanks! A geometric sequence looks like a, ar, ar2,

asked by Anonymous on October 18, 2006
4. ### Math

The first three terms of a GP are also the first,nineth and eleventh terms respectively of an AP. Given that the terms of the GP are all different,find the common ratio r,if the sum to infinity of the GP is 8. Find also the first

asked by Bash on November 5, 2012
5. ### Math(arithmetic & Geometric Series)

1)The sum of 6 terms of an arithmetic series is 45, the sum of 12 terms is -8. Find the first term and the common difference? 2)If in a geometric sequence the sum of the second and the third is 20 and the sum of the fourth and

asked by Estrick Abel on March 23, 2013
6. ### math

The ratio of the forth and 12th terms of a g.p. with positive common ratio is 1:256. If the difference of two terms be 61.2. Find the sum of 8 term of this series.

asked by arti on January 28, 2017
7. ### g.p.

The ratio of the fourth and 12th term of a g.p. With positive common ratio is 1:256. If the difference of two terms be 61.2, find the sum of 8 terms of this series.

asked by warnar on December 6, 2016
8. ### arithmetic

How do i find the common ratio, when the 1st, 2nd and 7th terms of a A.P with common difference 2 are the first three terms of a G.P .

asked by Ren on February 11, 2010
9. ### Algebra

Need to get these problems checked-- 31. Determine whether the sequence 7, 21, 35, 49 is geometric. If so, find its common ratio. a. no b. yes, common ratio of 14 c. yes, common ratio of 12 I'm stuck between A and B.. 32. What are

asked by mysterychicken on June 18, 2010
10. ### Algebra

In an infinite geometric progression with positive terms and with a common ratio |r|

asked by Anonymous on February 10, 2017

More Similar Questions