Enter a recursive rule for the geometric sequence. 2, 6, 18, 54, … a1= ; an=

Step-by-step explanation:

Given a geometric sequence.

2, 6, 18, 54, …

We have to find the I and nth term.

A geometric sequence. is one where each term is multiplied by a constant value to get the next term.

In our sequence, we find the pattern as each term is multiplied by 3 to get successive terms.

Hence common ratio r = 3

First term = a = 2

For Geometric sequence nth term = a_n = ar^(n-1)

Hence we get a_1 = 2

and a_n =  2(3)^(n-1)

By substituting for n any natural number we can get that term.

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

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.