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.
This is a triangular prism.
The lateral faces are triangles; this means that the two bases are parallel to one another. This makes it a prism instead of a pyramid.
The bases being triangles makes it a triangular prism.
Answer:
1571 in
Step-by-step explanation:
Given data
Diamter= 25 in
radius= 25/2= 12.5in
Circumference= 2πr
substitute
C=2*3.142*12.5
C=78.55in
In 1 revolution the bike will travel 78.55in
in 20 revolutions the bike will travel
=78.55*20
=1571 in
Answer: are you sure these are correct?
Step-by-step explanation:
You would calculate the speed be doing 5000 m / 17 min, which would be 294.117647059 m/min
17 minutes is extremely fast, but this is correct.
Answer:
t^5 = t to the power of five.
Step-by-step explanation:
