Respuestas
Respuesta:
Explicación paso a paso:
a) a₁ = 3
d = 3 an = a₁ + (n -1 ) * d
n = 2 a₂ = 3 + (2 -1 ) * 3 = 6
elementos : 3 , 6,....
b) d = -2 a₂ = 5 + (2 - 1 ) * ( - 2 ) = 3
a₁ = 5 a₃ = 5 + (3 - 1 ) * ( - 2 ) = 1
n = 4 a₄ = 5 + ( 4 - 1 ) * ( - 2 ) = - 1
elementos: 5, 3, 1, - 1 ,....
c) a₃ =4 a₄ = a₃ + (4-3 ) * d
a₄ = 21 / 2 d = a₄ - a₃ = 21 /2 - 4 = 13 / 2
n = 5 a₃ = a₁ +(3 -1 ) * 13 / 2
despejando a₁ queda :
a₁ = a₃ - 2 * 13 / 2 = 4 -13 = -9
a₂ = a₁ +( 2 - 1 ) * 13 / 2
a₂ = -9 +13 / 2 = - 5 / 2
a₅ = -9 + ( 5 - 1 ) * 13 / 2 = 17
elementos : -9 , 13 / 2 ,4 , 21 / 2 , 17,.....
d) a₁ = 12
a₅ = 21 / 2 a₂ = 12 +( 2 - 1 ) * (- 3 / 8) = 93 / 8
d= -3 / 8 a₃ = 12 + (3 - 1 ) * ( -3 / 8) = 45 / 4
n= 6 a₄ = 12 + (4 - 1 ) * ( -3 / 8) =87 / 8
a₆ = 12 + ( 6 - 1 ) * ( -3 / 8 ) = 81 / 8
elementos : 12, 93 / 8 , 45 / 4, 87 / 8 , 21 / 2, 81 / 8 ,.....
e) a₁ = 6 a₂ = 6 + ( 2 -1 ) * ( -1 / 5 ) = 29 / 5
a₆ = 5 a₃ = 6 + ( 3 -1 ) * ( -1 / 5 )= 28 / 5
d = - 1 / 5 a₄= 6 + ( 4 - 1 ) * ( -1 / 5) = 27 / 5
n = 8 a₅ = 6 + ( 5 - 1 ) * ( - 1 / 5)= 26 / 5
a₇ = 6 + ( 7 - 1) * ( - 1 / 5 ) = 24 / 5
a₈ = 6 + ( 8 - 1 ) * ( - 1/ 5 ) = 23 / 5
elementos : 6, 29 / 5 , 28 / 5 , 27 / 5 ,26 / 5, 24 / 5 , 23 / 5,