Answer: parallel lines
Step-by-step explanation:
7+5= 12 ones. Or one ten and 2 ones. They made 12.
R = { (x,y): 3x-y=0 }
The condition is 3x=y so that's not going to be any of these things.
R is reflexive if (x,x)∈R for all x. Let's check.
3x - y = 3x - x = 2x ≠ 0 necessarily. NOT REFLEXIVE
R is symmetric if (x,y)∈R → (y,x)∈R. Let's check.
(x,y)∈R so
3x-y = 0
y = 3x
Is (y,x)∈R. That would be true if 3y-x=0
3y - x = 3(3x) - x = 8x ≠ 0 necessarily NOT SYMMETRIC
R is transitive if (x,y)∈R and (y,z)∈R → (x,z)∈R. Let's check.
3x-y = 0 so y=3x
3y-z = 0 so z=3y = 9x
3x - z = 3x - 9x = -6x ≠ 0 necessarily NOT TRANSITIVE
By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have x_{n} = a+ (n-1)d
Here,
a=3
x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218
10 divided by 2 minus 1 equals 4
