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.
Given that,
An equation : -9c² +2c +3 = 0
To find,
Find the value of x.
Solution,
We have, -9c² +2c +3 = 0
We can solve it using the formula as follows :
Here, a = -9, b = 2 and c =3
Put the values,
So, the solution are -0.47 and 0.69.
Answer:
31
Step-by-step explanation:
An entire amount is 100% of the amount.
50% is half of 100%, so 50% means the same as half.
Half of 62 is the same as 62/2 = 31
Answer: 31
Answer:
18π ft^2
Step-by-step explanation:
The area of the circle is
pi *r^2
pi * 12^2
144pi
The part that is shaded is 45 degrees
An entire circle is 360 degrees
The fraction that is shaded is 45/360 = 1/8
Multiply the area by the fraction that is shaded
1/8 * 144 pi
18 pi
