![tyannamonae](/avatars/16082.jpg)
tyannamonae
30.10.2020 •
Mathematics
A school club uses a telephone chain to inform members of changes in plans. The club president calls 2 members, each of whom calls 2 members, and so on. The process must be repeated 5 times. How many members are in the club?
Solved
Show answers
More tips
- C Computers and Internet What is the Meaning of lol and How Did it Become Popular?...
- F Food and Cooking What s the Best Rice for Cooking Plov?...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics There are five members on a student council. Two of these members will serve on a spring formal committee. How many possible spring formal committees are there...
- M Mathematics The percentage of first year college males who will claim no religious affiliation in 2030 is approximately ___%...
- M Mathematics Hi I have Two questions what is a scale and did I include it in my graph and can I skip 3.5 see the the picture it will make more sense. There’s no data for 3.5 so...
- M Mathematics Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she...
- M Mathematics If de=7x+3 and ef=9x-19 than what is ef...
- M Mathematics While on beach vacation, tasha makes scale drawing of points of intererest between priers on her drawing 2 cm represents 15 MI the priers are 12 cm apart on tashas...
- M Mathematics A researcher recorded the time between consecutive eruptions (in minutes) of the Old Faithful geyser in Yellowstone National Park over an 8-day period. A graph and...
- M Mathematics Jackson claims that the order of the best deal to the worst deal (based on cost/ oz) is 10 oz bottle, 89oz bottle,59 oz bottle, case of 10 24 oz bottle, and 64 oz...
- M Mathematics Ineed to graph by identifying the slope and y-intersect x=2...
- M Mathematics Which statement is true? a.|–8| |8| b.|–2| 1 c.|–7| = –7 d.|12| |–15|...
Ответ:
63 members
Step-by-step explanation:
Since each person calls 2 persons each, there is an exponential increase of 2 for each level. Since it starts with the president as 1 person, and increases exponentially by 2 for each level of phone call, we have a geometric progression of first term, a = 1 and common ratio r = 2. Since the process of phone calls must be repeated 5 times, our last term is 2⁵. So, our geometric progression is 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵
We now sum the geometric progression
The sum of a geometric progression with r > 1 is
S = a(rⁿ - 1)/(r - 1)
substituting r = 2, a = 1 and n = 6 since we have 6 terms, we have
S = 1(2⁶ - 1)/(2 - 1)
= (64 - 1)/1
= 63
So, we have 63 members in the club.
We could have also found this by summing up individually the terms in the series. We have 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2 + 4 + 8 + 16 + 32 = 63
Ответ:
Step-by-step explanation:
45/11 miles per day or ~4.091 miles per day
Step-by-step explanation:
3 inches per second
24 hours in a day
60 minutes in 1 hour
60 seconds in 1 minute
Amount of inches per minute: 3 x 60 = 180 inches
Amount of inches per hour: 180 x 60 = 10,800 inches
Amount of inches per day 10,800 x 24 = 259,200 inches
To find the number of feet that 259,200 inches is, divide by 12.
259,200/12 = 21,600 feet per day
To find the number of miles that 21,600 feet is, divide by 5280.
21,600/5280 = 45/11 = 4.09090909091 = ~ 4.091
So, an ant could walk 45/11 miles per day or ~4.091 miles per day if it walked without taking a break.