Matemática

Matemática do Lat. mathematica < Gr. mathematiké, ciência das grandezas s. f., ciência que tem por objecto de estudo as relações entre os números, as formas, as grandezas e as operações; (no pl. ) conjunto de ciências em que intervêm as teorias dos números. -s aplicadas: as que consideram as grandezas em determinados corpos ou assuntos; -s mistas: as que consideram as propriedades da grandeza em certos corpos ou fenómenos particulares, como a Astronomia e a Mecânica; -s puras: as que estudam as propriedades da grandeza em abstracto como a Geometria e a Álgebra. (Fonte: Dicionário universal Texto editores)

domingo, 4 de fevereiro de 2007

Números que crescem depressa


Era uma vez um rapaz chamado Sessa que viveu na Índia há muito, muito tempo. Foi ele quem inventou o jogo de xadrez. Sessa gostou tanto do seu jogo que o ofereceu ao Príncipe da Índia. O Príncipe também gostou muito do jogo, e perguntou a Sessa o que gostaria de ter como recompensa.

Sessa pediu como recompensa o arroz necessário para pôr um grão na primeira casa do tabuleiro, dois grãos na segunda casa (ou seja, o dobro do número de grãos da casa anterior), quatro grãos na terceira casa (ou seja, o dobro do número de grãos da casa anterior), e assim sucessivamente: em cada casa do tabuleiro, o dobro do número de grãos da casa anterior.
O Príncipe riu-se dele, achou muito pequena a recompensa, e garantiu que atenderia o seu pedido. Mas… será que foi assim tão bom negócio para o Príncipe?...

Na verdade, o Príncipe não demorou a descobrir que no seu reino não havia arroz suficiente para pagar a recompensa de Sessa!


Quantos grãos de arroz serão necessários para o princepe pagar a recompensa?

9 comentários:

José Pedro Ribeiro disse...

Assunto que interessa também ao blogue de xadrez.
Muito interessante!
E já agora, um link para um site de matemática giro:
http://www.profcardy.com/

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