Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
The fifth term of the geometric progression is 6.75
Given the geometric progression 4/3, 18/9, 1, 16/27...
The nth term of a geometric progression is expressed according to the equation [tex]a_n=ar^{n-1}[/tex]
- a is the first term of the sequence
- n is the number of terms
- r is the common ratio
Given the following parameters;
a = 4/3
r = 18/9 * 3/4 = 3/2
n = 5
Substitute the given values into the formula
[tex]a_5=\frac{4}{3}(\frac{3}{2} )^{5-1}\\a_5 =\frac{4}{3}(\frac{3}{2} )^{4}\\a_5=\frac{4}{3}(5.0625)\\a_5=6.75[/tex]
Hence the fifth term of the geometric progression is 6.75
Learn more on GP here: https://brainly.com/question/25274096
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.