Find the 8th Term for the Geometric Sequence for which a1 - 3 and r = -2

-384

Step-by-step explanation:

geometric sequence : every new element is generated by multiplying the previous element always with the same number r.

a(n) = a(n-1) * r

a(n) = a(1) * r^(n-1)

so, a(1) = 3, r = -2

a(8) = ?

a(8) = a(1) * r^7 = 3 * (-2)^7

a negative number to an uneven power is again a negative number.

so, (-2)^7 = -128

3 * -128 = -384 = a(8)

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.

your answer would be 12