**Answer:**

an = 1/2 (4)^ (n-1)

a6 = 512

**Step-by-step explanation:**

The formula for a geometric sequence is

an = a1 (r)^(n-1)

where an is the term of the sequence

a1 is the initial term of the sequence

r is the ratio

and n is the term number

We know a1 = 1/2 and r =4

I will assume that x=6 means we want to know the 6th term

an = 1/2 (4)^ (n-1)

We want to find the 6th term

a6 = 1/2 * 4^(6-1)

a6 = 1/2 * 4^5

a6 = 512

**Answer:**

w = x = 36

**Step-by-step explanation:**

In the largest triangle, the longest side is x

The shortest side = 18

In the smaller triangle the longest side is 6

The shortest side is 3

You can set up a ratio

x/18 = 6/3 Divide the right side by 3

x/18 = 2 Multiply both sides by 18

18 *x / 18 = 2 * 18

x = 36

0.14x + 0.07(280-x) = 0.08*280

0.14x + 19.6-0.07x = 22.4

0.07x + 19.6 = 22.4

0.07x = 2.8

x = 2.8 / 0.07 = 40

x = 40 pounds of Soybean

280 -40 = 240 of cornmeal