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6518401
Progressão Aritmética (P.A.)
Description
Estudos da Progressão Aritmética
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definição e suas propriedades
somas dos termos
classificação de uma p.a.
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Resource summary
Progressão Aritmética (P.A.)
Classificação
3. Crescentes
r > 0
4. Decrescentes
r < 0
5. Constantes
r = 0
1. Definição
É uma sequencia em que cada termo, a partir do segundo, é a soma do anterior com uma constante r dada chamada razão da P.A.
2. Termo Geral
é o primeiro da P.A. è a razão da P.A
7. Soma dos termos
6. Notações Especiais
Para 3 termos;: (x - r, x, x+1); Para 4 termos: (x-3a, x - a, x + a, x + 3a) onde r = 2a; Para 5 termos: (x - 2r, x - r, x , x + r, x + 2r)
8. Interpolação Aritmética
Numa P.A. de extremos a1 = a e an = b, ao inserir k meios aritméticos, temos k + 2 termos da razão:
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