Sign In Sign Up Ask an AI advisor

tonytashaqua

tonytashaqua

26.08.2019 •

Mathematics

What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Solved

Show answers

Ответ:

CSelmon23

01.01.2022

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

0,0(0 оценок)

Ответ:

kingjames82

12.06.2021

∠cbe and ∠deb are same-side interior angles.

i took the test

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

S Sport How to wrap boxing hand wraps? Everything you need to know!...
F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
A Animals and plants How to Grow Lime from a Seed: Simple Tips and Interesting Facts...
C Computers and Internet How to Create a Folder on Your iPhone?...
G Goods and services How to sew a ribbon: Tips for beginners...
F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
C Computers and Internet Which Phone is Best for Internet Surfing?...
F Food and Cooking Everything You Need to Know About Pasta...
C Computers and Internet How to Choose a Monitor?...
H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...

Answers on questions: Mathematics

M Mathematics Steve can text 20 emojis in 24 seconds.at that rate,how many emojis can he text in 2 minutes and 48 seconds...
M Mathematics Which equation is represented by the graph below? a) y=2/3x-g b) y= 3/2x-g c) y= 2/3x+6 d) y= 3/2x+6...
M Mathematics Fiana invests her savings of $1835.00 into a savings bond at a simple interest rate of 3.80%per annum . How much interest will she earn in 4 years? If you invest $300.00...
M Mathematics Ty 4. What is the slope of the line on the graph? O 1 O 1/2 O 2 O 3 χ -4 -2 2 4 -2 -4...
M Mathematics I need the RIGHT answer please...
M Mathematics Evaluate the function for c(0)...
M Mathematics Two cross roads ,each of width 5m , run at right angles through the centre of a rectangular park of length 70m and breadth 45m and parallel to its sides .Find the area...
M Mathematics Two banks offer different choices for transaction fees, Bank A charges $0.20 for each transaction while Bank B offers 25 free transactions a month but charges $1.00...
M Mathematics Match each linear relationship to its algebraic model in slope-intercept form. Zuri has $125 saved in a bank account. Each month, Zuri spends $10. Let x represent the...
M Mathematics -6x + 3 ≥ 21 i need this im just bored it s 12pm...

S Sport S Society and Politics G Goods and services C Cities and Countries A Animals and plants L Legal consultation W Work and Career C Construction and repair H Health and Medicine D Dating, Love, Relationships H Horoscopes, Magic, Divination S Style and Beauty L Leisure and Entertainment S Science and Technology P Photography and Videography A Art and Culture O Other P Philosophy F Food and Cooking B Business and Finance T Travel and tourism F Family and Home A Auto and Moto

Show more

Full access

It will provide effective and fast learning by providing unlimited access to the knowledge base and receiving answers from experts and an AI advisor.

Subscribe

Ask an AI advisor a question

I want advice

ABOUT US

About us
Terms of use
Copyright
Privacy Policy
Cookie policy
Cookie preferences

HELP

Sign Up
FAQ
Security Center

App

Spanish Geography Health Engineering Arts Social Studies Advanced Placement (AP) German SAT History Computers and Technology Physics Chemistry Biology Law Mathematics World Languages French Business Medicine