Concept explainers
Challenge Problem Paper Creases If a sheet of paper is folded in half by folding the top edge down to the bottom edge, one crease will result. If the folded paper is folded in the same manner, the result is three creases. With each fold, the number of creases can be defined recursively by
Find the number of creases for
Use the given information and your results from part (a) to find a formula for the number of creases after n folds,
Use the Principle of Mathematical Induction to prove that the formula found in part (b) is correct for all natural numbers.
Tosa Tengujo is reportedly the world’s thinnest paper with a thickness of
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
EBK PRECALCULUS
- A triangular brick wall is made by cutting some bricks in half to use in the first column of every other row (see figure). The wall has 28 rows. The top row is one-half brick wide and the bottom row is 14 bricks wide. How many bricks are in the finished wall?arrow_forwardThe population of the United States is approximately 300,000,000 people. Find the population in 50 years if k=0.015. Round to the nearest million.arrow_forwardMultiply the following: (x4)(x4)(y1)(y1)(z7)(z7) Explain the pattern that you see in your answers.arrow_forward
- Cat food One bag of cat food feeds Lara’s cat for days. How many bags of cat food does Lara need for 365 days?arrow_forwardWhen Dimple simplified and she got the same answer. Explain how using the Order of Operations correctly gives different answers.arrow_forwardA commuter must Lrae1 from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as possible, so she always leaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forward
- In a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and dimes. If the bag contained the same number of nickels as dimes, how many of each type of coin was in the bag?arrow_forwardTranslate each phrase into an expression with integers. Do not simplify. a stock gain of $3arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell