Question

Ayuda porfavor es urgente

Answer 1

a}

a1 = 7- 4(1)² / 3 + 2(1)² = 3 / 5

a2 = 7- 4(2)² / 3 + 2(2)² = - 9/11

a3 = 7- 4(3)² / 3 + 2(3)² = -29/21

a4 = 7- 4(4)² / 3 + 2(4)² = -57/35

a10 = 7- 4(10)² / 3 + 2(10)² = -393/203

b)

a1 = (2(1)-1)(3(1)+1) / (1)³+1 = 4/2 = 2

a2 = (2(2)-1)(3(2)+1) / (2)³+1 = 21/9 = 7/3

a3 = (2(3)-1)(3(3)+1) / (3)³+1 = 50/28 = 25/14

a4 = (2(4)-1)(3(4)+1) / (4)³+1 = 91/65 = 7/5

a10= (2(10)-1)(3(10)+1) / (10)³+1 = 589/999

c)

a1 = 1 - 2/1 = -1

a2= 1 - 2/2 = 0

a3 = 1 - 2/3 = 1/3

a4 = 1 - 2/4 = 2/4 = 1/2

a10 = 1 - 2 /10 = 8/10 = 4/5

d)

a1 = (-1)^1+1 ( 1 / 3(1)-1) = 1/2

a2 = (-1)^2+1 ( 1 / 3(2)-1) = -1/5

a3= (-1)^3+1 ( 1 / 3(3)-1) = 1/8

a4 = (-1)^4+1 ( 1 / 3(4)-1) = -1/11

a10 = (-1)^10+1 ( 1 / 3(10)-1) = -1/29

e)

a1= 1 / √1+1² = 1/√2 = √2/2

a2= 2 / √1+2² = 2/√5 = 2√5/5

a3= 3 / √1+3² = 3/√10 = 3√10/10

a4= 4 / √1+4² = 4/√17 = 3√17/17

a10 =10 / √1+10² =10/ √101 = 10√101/101

f)

a1 = √1+1 / 1² = √2

a2 = √2+1 / 2² = √3/4

a3 = √3+1 / 3² = √4/9 = 2/9

a4 = √4+1 / 4² = √5/16

a10 = √10+1 / 10² = √11/100

g )

a1= 1 / 1(1+1) = 1/2

a2= 1 / 2(2+1) = 1/6

a3= 1 / 3(3+1) = 1/12

a4= 1 / 4(4+1) = 1/20

a10= 1 / 10(10+1) = 1/110

h)

a1 = (-1)^1 (1 / (1+1)(1+2) = - 1/6

a2 = (-1)^2 (1 / (2+1)(2+2) = 1/12

a3 = (-1)^3 (1 / (3+1)(3+2) = - 1/20

a4 = (-1)^4 (1 / (4+1)(4+2) = 1/30

a10 = (-1)^10 (1 / (10+1)(10+2) = 1/132