Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Answer:
r= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a geometric series is calculated as
S∞ = [tex]\frac{a_{1} }{1-r}[/tex] ; | r | < 1
where a₁ is the first term and r the common ratio
here a₁ = 15 and S∞ = 45 , then
45 = [tex]\frac{15}{1-r}[/tex] ( multiply both sides by (1 - r ) )
45(1 - r) = 15 ( divide both sides by 45 )
1 - r = [tex]\frac{15}{45}[/tex] = [tex]\frac{1}{3}[/tex] ( subtract 1 from both sides )
- r = [tex]\frac{1}{3}[/tex] - 1 = - [tex]\frac{2}{3}[/tex] ( multiply both sides by - 1 )
r = [tex]\frac{2}{3}[/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.