PROGRESSÕES Flashcards

1
Q

Termo geral(PA)

A

an = a1 + (n-1).r

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2
Q

Relação entre dois termos quaisquer(PA)

A

A3 = a1 + 2.r

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3
Q

Termo central(PA)

A

a3 + a1 td sobre 2 = a2

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4
Q

Soma dos termos (PA)

A

Sn= (a1 + an).n td sobre 2

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5
Q

razão para 3 termos(PA)
(a1;a2;a3)

A

a2 - a1 = a3 - a2

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6
Q

notação especial para quantidade ímpar da PA (3 TERMOS)

A

(X - R; X; X+R)

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7
Q

notação especial para quantidade ímpar da PA (5 TERMOS)

A

(X - 2R; X - R; X; X + R; X + 2R)

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8
Q

razão da PA

A

a3 - a2 = r

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9
Q

razão da PG

A

q = a2/a1

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10
Q

termo geral da PG

A

an= a1.q^n-1

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11
Q

Relação entre dois termos quaisquer(PG)

A

a3 = a1.q^2

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12
Q

Termo central (PG)
(a; b; c)

A

b^2 = a.c
portanto
√a.c = b

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13
Q

Razão para dois termos quaisquer(PG)

A

q^n-k = an/ak

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14
Q

notação especial para quantidade ímpar da PG (3 TERMOS)

A

(a/q; q; a.q)

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15
Q

notação especial para quantidade ímpar da PG (5 TERMOS)

A

(a/q^2; a/q; a; a.q; a.q^2)

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16
Q

soma dos termos de uma PG finita

A

Sn= a1.(q^n -1)/q-1

17
Q

soma dos termos de uma PG infinita

A

a1/1-q

18
Q

PG crescente

A

q > 1

19
Q

PG decrescente

A

0 < q < 1

20
Q

PG constante

A

q = 1

21
Q

PG oscilante

A

q < 0

22
Q

PG crescente.1

A

a1 < 0
0 < q < 1

23
Q

PG decrescente.1

A

a1 < 0
q > 0