subject
Mathematics, 18.05.2021 06:10 Arealbot

A blank, square sheet of paper is painted as follows: Step 1 consists of ruling the square into nine smaller congruent squares, and painting the central one. Step 2 consists of applying this process to each of the remaining eight squares (a small central square is painted in each). Step 3 consists of applying this process to each of the 64 remaining small squares, etc. The first two steps are shown. Let A0 be the area of the original square, A*1 be the area that is unpainted after Step 1, A*2 be the area that is unpainted after Step 2, and so on. Show that the decreasing sequence A*0, A*1, A*2,... is geometric. Is it ever true that An<0.01A*0. Justify your answer.

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 21:00
Helena lost her marbles. but then she found them and put them in 44 bags with mm marbles in each bag. she had 33 marbles left over that didn't fit in the bags.
Answers: 3
question
Mathematics, 22.06.2019 02:30
Problem 3 a bank charges a service fee of $7.50 per month for a checking account. a bank account has $85.00. if no money is deposited or withdrawn except the service charge, how many months until the account balance is negative
Answers: 2
question
Mathematics, 22.06.2019 03:00
Lucy spent $165 in december using a new credit card. in january, she began paying between $15 and $25 each month towards her account balance.
Answers: 1
question
Mathematics, 22.06.2019 08:00
What is the sum of these mixed fractions 1 1/4 + 5 1/6
Answers: 1
You know the right answer?
A blank, square sheet of paper is painted as follows: Step 1 consists of ruling the square into nine...
Questions
question
Mathematics, 30.01.2020 06:46
question
English, 30.01.2020 06:46
question
Biology, 30.01.2020 06:46