Answer:
.
Step-by-step explanation:
We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.
We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.
Let us use two consecutive numbers of our sequence in above formula.
will be 12 and 
will be 18 for our given sequence.
Dividing our numerator and denominator by 6 we will get,
Let us use numbers 8 and 16/3 in above formula.
Therefore, we get as common ratio of our given geometric sequence.
The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
Answer:
Line UM.
Step-by-step explanation: you can name a line by naming at least two points on it.
Because there's no picture provided, I can just give two points in order to formulate the equation using the point-slope formula. The x is in years while the y is in percentage. Suppose point 1 is (2, 35) and point 2 is (7,80).
Point Slope Formula: y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting,
y - 35 = [(80 - 35)/(7 - 2)](x - 2)
y - 35 = 9(x - 2)
2y=4x +13
Y=2x +6.5
Answer y=2x + 6.5
