Question

A geometric progression has first term a, common ratio r, and sum to infinity 6. A second geometric progression has first term 2a, common ratio r , and sum to infinity 7. Find the values of a and r.

Name: a geometric progression has first term a common ratio r and sum to infinity 6 a second geometric progression has first term 2a common ratio r and sum to infinity 7 find the values of a and r 00197
Uploaded: 2021-10-13T21:00:12-08:00
Duration: 54 s
Channel: Nicole Smina
Description: a geometric progression has first term a common ratio r and sum to infinity 6 a second geometric progression has first term 2a common ratio r and sum to infinity 7 find the values of a and r 00197

          A geometric progression has first term a, common ratio r, and
sum to infinity 6. A second geometric progression has first term
2a, common ratio r , and sum to infinity 7. Find the values of a
and r.

Added by Juan Carlos F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nicole Smina

10/13/2021

Step 1

The formula is \(S_{\infty} = \frac{a}{1 - r}\), where \(S_{\infty}\) is the sum to infinity, \(a\) is the first term, and \(r\) is the common ratio. Step 2: Apply the formula to the first geometric progression. We know the sum to infinity is 6, the first term is Show more…

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A geometric progression has first term a, common ratio r, and sum to infinity 6. A second geometric progression has first term 2a, common ratio r , and sum to infinity 7. Find the values of a and r.