Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
6 multiplied by 4 is 24 feet. Then convert it to meters by multiplying .3048 by 24 which means the answer is 7.3152 meters
Let's form the difference of the two expressions and see what we can learn.
(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)
Since y > x, this is positive, so 2y -x is greater than 2x -y.
Find the perimeter of the rectangle with points...
W(6,9), X(9,7), Y(3,-2), Z(0,0)
Answer:
41 miles per hour
Step-by-step explanation:
This is a fraction equal to
41 miles ÷ 1 gallon
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
41 miles ÷ 1
1 gallon ÷ 1
= 41 miles per gallon
I hope this works
