Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio . For example, we can say:

We have . To find , let's multiply this term by :

Now, let's use this to find all of our other terms:

Thus, our terms are 64, 80, 100, 125, and (625/4).

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.