Progressão Geométrica

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Progressão Geométrica

Mensagempor princewilliam » Terça Mar 26, 2013 9:12 pm

Escreva o número 402010 como a expressão de uma soma de progressão geométrica.

Desde já, obrigado.
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Re: Progressão Geométrica

Mensagempor apcfernandes » Segunda Abr 01, 2013 4:06 pm

princewilliam escrito:Escreva o número 402010 como a expressão de uma soma de progressão geométrica.

Desde já, obrigado.



Olá "princewiliam" :!:
Eis a resposta:

402 010 = 10 + 2000 + 400 000 :idea:

Comece por decompor o nº dado em parcelas ---> 400 000 (4 centenas de milhar)
+ 2 000 ( 2 milhares)
+ 10 ( 1 dezena)
Escreva do menor para o maior!...
Em seguida compare cada parcela com a seguinte (faça a razão) :!: Obtém sempre 200 (=q)
Agora, já temos o 1º termo e a razão, o resto é ver se encaixa na fórmula da soma de três termos de uma PG ---_ S3 = a1 * ( 1 - 200^3) / ( 1 - 200) :mrgreen: :idea:

Como vê , dá mesmo :mrgreen:

Valeu :?:
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Re: Progressão Geométrica

Mensagempor princewilliam » Domingo Out 20, 2013 10:31 pm

valeu!!! :mrgreen:
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