What is the 19th term of a geometric sequence where a1=8 and a9=360. round the common ratio and 19th term to the nearest hundredth.

really need on this one .

Step-by-step explanation:

By the formula of a geometric series:

r = 1.6

a19 = 37800

Step-by-step explanation:

First term and of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.

We know that the general term of a Geometric Sequence is given by:

where is the nth term, is the first term, is the number of terms and is the common ratio.

Substituting the given values in the above formula to get:

r = 1.6

Finding the 19th term:

a19 = 37800

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.