Question

1a.-14,____,-6,____,2,____,10

b. ____, - 2,4,____,16,____,64

2.Factor of 60=
1,2,3,4,5,6,10,x,15,20,y,z
Find the sum of the values of x, y and z

Please help me to solve these question, thank you. ​

Answer 1

Hello,

a) -6

b) -39

c) 102

Explanation:

I suppose this are sequence arithemical or geometrical

`a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\`

`b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\(u_5)/(u_3)=(16)/(4) =4\\(u_8)/(u_6)=(64)/(16) =4\\(u_3)/(u_2)=(4)/(-2) =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=(u_2)/(-2) =1\\\\u_4=y=(u_5)/(-2) =-8\\\\u_6=z=(u_7)/(-2) =-32\\x+y+z=1+(-8)+(-32)=-39\\`

c)

All those numbers are divisor of 3*4*5=60

x=12, y=30, z=60

x+y+z=12+30+60=102

Answer 2

102

Explanation:

x= 12

y= 30

z= 60

Hope u got it