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Andreymikael1234
@Andreymikael1234
January 2020
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10) Interpole oito meios geométricos entre 5 e 2560.
35) Interpole 8 meios geométricos entre 5 e 2560.
59) quantos termos tem a P.G (2,6,18, .... 4374) ?
ME AJUDA <3 <3 <3 <3 <3 <3
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Necessária a razão
an = a1.q^(n-1)
2560 = 5.q^(10-1)
n = 10 (2 extremos + 8 interpolados)
2560/5 = q^9
512 = q^9
2^9 = q^9
q = 2
PG = {
5
, 10, 20, 40, 80, 160, 320,640, 1280,
2560
}
__________________________
INTERPOLADOS
an = a1.q^(n-1) 4374 = 2.3^(n-1)
a1 = 2 4374/2 = 3^(n-1)
an = 4374 2187 = 3^(n-1)
q = 3 (18:6 = 3 = 6:2 = 3) 3^7 = 3^(n-1)
n = ?? 7 = n-1
n = 7+1
n = 8
TEM 8 TERMOS
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Necessária a razão
an = a1.q^(n-1)
2560 = 5.q^(10-1)
n = 10 (2 extremos + 8 interpolados)
2560/5 = q^9
512 = q^9
2^9 = q^9
q = 2
PG = {5, 10, 20, 40, 80, 160, 320,640, 1280, 2560}
__________________________
INTERPOLADOS
an = a1.q^(n-1) 4374 = 2.3^(n-1)
a1 = 2 4374/2 = 3^(n-1)
an = 4374 2187 = 3^(n-1)
q = 3 (18:6 = 3 = 6:2 = 3) 3^7 = 3^(n-1)
n = ?? 7 = n-1
n = 7+1
n = 8
TEM 8 TERMOS