2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Since F(X) = 3^X,
F(4) = 3^4 = 81
Answer:(x,y)=(2.5,1)
Step-by-step explanation:
Given


thus on comparing
2x+y=6------1


On comparing exponent of 2
------2
we get x=2.5
substitute x in 1
y=1
(x,y)=(2.5,1)
Answer:
Y=-1/3x-1
Step-by-step explanation:
Y-0=-1/3(x+3)
Answer:
0.5
Step-by-step explanation: