512,256,128,64 what is the conjecture

We are given sequance 512,256,128,64.

We can clealry see that each current term is being divided by 2 to get next term.

In order ways we could say that if we divide next term from previous term, we get 1/2.

We can see, all ratios are same.

So, this is a geomatric sequance.

We know the formula for geomatric sequence

Where a is the first term of the sequance, r is the common ratio and n is the number of terms.

We got first term a=512, and coomon ratio r= 1/2.

Plugging those values of a and r in formula, we get

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

1 mph

step-by-step explanation:

if the question is asking how much does she drive per mile then,

13 / 13 = 1 mph