Level E Cheryl's mother baked a large rectangular pan of brownies for Cheryl and her two friends, Joanne and Richard, to share after school. Cheryl and Joanne got to the house at the same time. They knew Richard was coming over later. They cut the brownie into three equal size pieces. Cheryl took one of the pieces and Joanne took another, leaving the third piece for Richard. Cheryl and Joanne each began to eat their share of brownies. When they were finished, Richard had still not shown up. They were both still hungry so they decided to take Richard's piece and divide it into thirds again. Cheryl and Joanne began to eat their new "one-third" slices, leaving Richard with only one-third of his original piece. Still Richard did not show, so the two friends decided to cut his remaining piece in thirds again. They set aside one of the cut pieces for Richard, and ate the other two. If Richard never comes over to the house and the two friends continue their process of eating and dividing the remaining slices, how much will they each eat? • Represent your answer in an equation. • What can you conclude from an infinite sum? • Suppose there were four friends and only three showed up to eat the brownies originally cut into fourths. If a similar process occurred how much would each of the three friends eat? Represent your conclusion in an equation with an infinite sum. • Generalize your finding about similar sets of infinite sums.
Level E Cheryl's mother baked a large rectangular pan of brownies for Cheryl and her two friends, Joanne and Richard, to share after school. Cheryl and Joanne got to the house at the same time. They knew Richard was coming over later. They cut the brownie into three equal size pieces. Cheryl took one of the pieces and Joanne took another, leaving the third piece for Richard. Cheryl and Joanne each began to eat their share of brownies. When they were finished, Richard had still not shown up. They were both still hungry so they decided to take Richard's piece and divide it into thirds again. Cheryl and Joanne began to eat their new "one-third" slices, leaving Richard with only one-third of his original piece. Still Richard did not show, so the two friends decided to cut his remaining piece in thirds again. They set aside one of the cut pieces for Richard, and ate the other two. If Richard never comes over to the house and the two friends continue their process of eating and dividing the remaining slices, how much will they each eat? • Represent your answer in an equation. • What can you conclude from an infinite sum? • Suppose there were four friends and only three showed up to eat the brownies originally cut into fourths. If a similar process occurred how much would each of the three friends eat? Represent your conclusion in an equation with an infinite sum. • Generalize your finding about similar sets of infinite sums.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Level E
Cheryl's mother baked a large rectangular pan
of brownies for Cheryl and her two friends,
Joanne and Richard, to share after school.
Cheryl and Joanne got to the house at the same
time. They knew Richard was coming over
later.
They cut the brownie into three equal size
pieces. Cheryl took one of the pieces and
Joanne took another, leaving the third piece for Richard. Cheryl and Joanne each
began to eat their share of brownies. When they were finished, Richard had still
not shown up.
They were both still hungry so they decided to take Richard's piece and divide it
into thirds again. Cheryl and Joanne began to eat their new "one-third" slices,
leaving Richard with only one-third of his original piece.
Still Richard did not show, so the two friends decided to cut his remaining piece in
thirds again. They set aside one of the cut pieces for Richard, and ate the other
two.
If Richard never comes over to the house and the two friends continue their
process of eating and dividing the remaining slices, how much will they each eat?
• Represent your answer in an equation.
• What can you conclude from an infinite sum?
Suppose there were four friends and only three showed up to eat the
brownies originally cut into fourths. If a similar process occurred how
much would each of the three friends eat? Represent your conclusion in
an equation with an infinite sum.
• Generalize your finding about similar sets of infinite sums.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
