Mathematics, 23.06.2019 11:30 daniellecraig77
An infinite geometric series has common ratio 1/8 and sum 60. what is the first term of the series?
Answers: 1
![\bf \textit{sum of an infinite geometric series}\\\\ S_n=\displaystyle\sum\limits_{i=0}^{\infty}\implies S_n=\cfrac{a_1}{1-r}~~ \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ S_n=60\\ r=\frac{1}{8} \end{cases} \\\\\\ 60=\cfrac{a_1}{~~1-\frac{1}{8}~~}\implies 60=\cfrac{a_1}{~~\frac{7}{8}~~}\implies 60=\cfrac{\frac{a_1}{1}}{~~\frac{7}{8}~~}\implies 60=\cfrac{8a_1}{7} \\\\\\ 420=8a_1\implies \cfrac{420}{8}=a_1\implies \cfrac{105}{2}=a_1](/tpl/images/0007/7865/29b3f.png)
Another question on Mathematics
Mathematics, 21.06.2019 15:30
Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary
Answers: 1
Mathematics, 21.06.2019 17:30
Is it true or false i’m trying to pass this test so i can leave school
Answers: 2
Mathematics, 21.06.2019 20:30
Barbara has a good credit history and is able to purchase a car with a low-interest car loan. she co-signs a car loan for her friend jen, who has poor credit history. then, jen defaults on the loan. who will be held legally responsible by the finance company and why? select the best answer from the choices provided. a. barbara will be held legally responsible because she has a good credit history. b. jen will be held legally responsible because she drives the car. c. barbara will be held legally responsible because she is the co-signer. d. jen will be held legally responsible because she has a poor credit history. the answer is a
Answers: 3
You know the right answer?
An infinite geometric series has common ratio 1/8 and sum 60. what is the first term of the series?...
Questions
Mathematics, 28.02.2020 22:47
Mathematics, 28.02.2020 22:47
Computers and Technology, 28.02.2020 22:47
