The sum of the first 3 terms of a geometric progression is 13 times its first term.Find the possible values of the common ratio of the geometric progression.

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- Dec 23rd 2009, 08:22 AMmastermin346Progressions
The sum of the first 3 terms of a geometric progression is 13 times its first term.Find the possible values of the common ratio of the geometric progression.

- Dec 23rd 2009, 08:27 AMmathaddict
- Dec 23rd 2009, 09:08 AMe^(i*pi)
- Dec 23rd 2009, 09:38 AMSoroban
Hello, mastermin346!

Quote:

The sum of the first 3 terms of a geometric progression is 13 times its first term.

Find the possible values of the common ratio of the geometric progression.

The first three terms are: .

Their sum is 13 times the first term: .

We have: .

Therefore: .