![keke6361](/avatars/42405.jpg)
keke6361
27.01.2020 •
Mathematics
The sequence 6, 18, 54, 162, … shows the number of pushups kendall did each week, starting
with her first week of exercising.
(a) is this an arithmetic or geometric sequence?
(b) how can you find the next number in the sequence?
(c) give the rule you would use to find the 20th week. find the 20th week. (show your work)
Solved
Show answers
More tips
- S Style and Beauty What Peeling is Suitable for Sensitive Skin?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- 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 The ratio of green tiles to purple tiles in the art class mosaic is 5 to 8. There are 45 green tiles in the mosaic. Which shows a way to find the number of purple tiles...
- M Mathematics Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number...
- M Mathematics Based on his skills in basketball, it was computed that when Joe Sureshot threw a free throw, the odds in favor of his making it were 4 to 35. Find the probability...
- M Mathematics 5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times,...
- M Mathematics A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square...
- M Mathematics 10^y x -10 -5 O 5 10 -5 -10 What are the coordinates of the vertex?...
- M Mathematics Everybody please be aware that the user lN0M2lPs is trying to get you to do inappropriate things. If you see this person, report them immediately. Plus, you get 10...
- M Mathematics You manage an appliance store that currently has excess warehouse inventory. You decide to offer a price reduction on washer-dryer combination sets. As a result of...
- M Mathematics 5x+10y=5 -13x+4y=17 NEED HELP WILL MARK THE RIGH ANSWER BRAINLIEST...
- M Mathematics A 12 cm by 20 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional in size. The dimensions of several...
Ответ:
a) The given sequence is geometric.
b) The next term in the sequence is 486
c) The rule is:![a_n=6(3)^{n-1}](/tpl/images/0473/4259/af5e0.png)
The 20th week will be: a_{20}=6973568802
Step-by-step explanation:
The sequence 6, 18, 54, 162, … shows the number of push ups Kendall did each week, starting with her first week of exercising.
Part a) Is this an arithmetic or geometric sequence?
An arithmetic sequence is one, where difference between two consecutive terms is constant.
In the given sequence 6, 18, 54, 162,
18-6 = 12
54-18= 36
The difference is not constant so, the sequence is not arithmetic.
A geometric sequence is one, where ratio between two consecutive terms is constant.
In the given sequence 6, 18, 54, 162,
18/6 = 3
54/18 = 3
162/54 = 3
The ratio is constant so, the sequence is geometric.
The given sequence is geometric.
Part b) How can you find the next number in the sequence?
We can find next number in the sequence by using formula:
where a_n= nth term
a= first term
r= common ratio
The next term will be 5th term of the sequence.
Finding 5th term:
So, the next term in the sequence is 486
Part c) Give the rule you would use to find the 20th week. Find the 20th week
The rule used to find 20th week would be:
Here n=20
Finding 20th week
Ответ:
22 people
Step-by-step explanation:
Sean has 2 3/4 candy bars. That is 11/4 candy bars.
He wants to give out 1/8 candy bars.
The number of people that will get candy is:
22 people can get candy.