Geometric Progression in ENEM Solved PG Exercises

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Escola de Números com Thyago Araujo

Published on Jun 2, 2022
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In this video, I show you how PG is included in the ENEM and how you can prepare yourself so you don't get easy geometric progression questions wrong. This content is studied in the first year of high school. Don't forget, any content that is in the notice can be included in the ENEM. Be part of the 800 + ENEM Club Click Here: https://thyagoaraujo.com/clubedos800+... Study with me and succeed in Math. ONLINE MATHEMATICS PLATFORM: https://thyagoaraujo.com/ Solved questions from previous ENEM exams 01. (ENEM-2018) Tennis tournaments are generally played in a single-elimination system. In this system, matches are played between two competitors, with the loser being eliminated and the winner being promoted to the next phase. Thus, if in the 1st phase the tournament has 2n competitors, then in the 2nd phase there will be n competitors remaining, and so on until the final match. In a tennis tournament, played in this system, 128 tennis players participate. To define the champion of this tournament, the number of matches necessary is given by a) 2x128 b) 64 + 32 + 16 + 8 + 4 + 2 c) 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 d) 128 + 64 + 32 + 16 + 8 + 4 + 2 e) 64 + 32 + 16 + 8+ 4 + 2+ 1 02. (ENEM-2020) The Dutch graphic artist Maurits Cornelius Escher created beautiful works in which the images were repeated, with different sizes, inducing the reasoning of infinite repetition of the images. Inspired by it, an artist made a draft of a work in which he proposed the idea of ​​constructing a sequence of infinite squares, each one smaller and smaller, one under the other, as shown in the figure. The square PRST, with side measurement 1, is the starting point. The second square is constructed under it by taking the midpoint of the base of the previous square and creating a new square, whose side corresponds to half of this base. This construction sequence repeats itself recursively. What is the measurement of the side of the hundredth square constructed according to this pattern? a) (1/2)100 b) (1/2)99 c) (1/2)97 d) (1/2)-98 ​​e) (1/2)-99 --- Follow us on social media: ► PLATFORM (Website): https://thyagoaraujo.com/cursos/ ► Instagram: / escoladenumeros ► Instagram: / professorthyagoaraujo ► Twitter: / escoladenumeros CONTACT EMAIL: [email protected] Here on the channel you will find several free video classes in Mathematics, Chemistry, Physics and Biology for elementary and high school. SUBSCRIBE TO THE CHANNEL HERE: https://www.youtube.com/c/EscoladeNum... QUESTION LISTS: https://thyagoaraujo.com/listas-de-qu... CREATED BY MASTER PROFESSOR IN MATHEMATICS THYAGO ARAUJO FERREIRA #ENEM2022 #Mathematics #PaesUema2022

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