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4147591
SERIES Matemáticas
Description
Maths
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maths
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Mind Map by
Angie Mendoza Fl
, updated more than 1 year ago
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Created by
Angie Mendoza Fl
over 8 years ago
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Angie Mendoza Fl
over 8 years ago
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Resource summary
SERIES Matemáticas
Definición
"Sucesiones" y "series" pueden parecer la misma cosa... pero en realidad una serie es la suma de una sucesión.
Sucesión: {1,2,3,4} Serie: 1+2+3+4 = 10
Tipos de series
Aritmética
Geométrica
Notables
Serie Aritmética
Presenta una razón constante,meidante la adición
Fórmulas
Tn=T1 + (n-1)r
2Sn= (T1+Tn)n
Sn=T1+T2+T3....+Tn (+r)
Serie Geométrica
S. G. Finita
Razón constante , mediante la multiplicación
Sn=T1+T2+T3......+Tn (xr)
Fórmulas
S. G. Infinita
S= T1+T2+T3......... (xr)
Fórmulas
S=T1/1-r
Series Notables
Naturales consecutivos
S=1+2+3+4+5....+n= n(n+1)/2
Pares consecutivos
S=2+4+6+8+.....+2n= n(n+1)
Impares consecutivos
S=1+3+5+7+....+(2n-1)= n(n)
Naturales consecutivos cuadráticos
S=1(1)+2(2)+3(3)...+n(n)= n(n+1)(2n+1)/6
Naturales consecutivos cúbicos
S=1(1)(1)+2(2)(2)+....n(n)(n)= [n(n+1)/2][n(n+1)/2]
Productos de dos números consecutivos
S=1(2)+2(3)+3(4)....+n(n+1)= n(n+1)(n+2)/3
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