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.
Answer:
m=2
Step-by-step explanation:
slope is the average rate of change in a specific interval
we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)
m=(y2-y1)/(x2-x1)
=(-1-7)/(-3-1)
=-8/-4
=2
Answer:
y=3x-10
Step-by-step explanation:
When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.
I don't know what is the correct answer
