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:
The linear equation is y = 6 x + 9
The graph is attached down
Step-by-step explanation:
The given information:
The cost of 1st km is 9 Rs
The cost of every kilometer after the first is 6 Rs
x represents the number of km
y represents the total cost of x km
The form of the linear equation is
y = m x + b, where
- m is the slope of the line (rate of change)
- b is the y-intercept (initial value)
From the given information above
m = 6 Rs/km
b = 9 Rs
Substitute them in the form of the equation
y = 6 x + 9
The graph:
Take the root of both sides and solve
1.09544511

1.09544511

h= ___________ , - ____________
p p
Since the deepest point of Death Valley is below sea level, its altitude is negative. So, the difference between the altitudes is

Subtracting a negative means to add, so we have
