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.
slope = change in y/ change in x
select two points on the line
(-4,4)
(0,1)
= (4-1)/(-4-0)
= -3/4
1/2 times 6 = 1/2 * 6
so in order to make this multiplication you have to turn 6 to a fraction, 6 is equal to 6/1
so , the way to multiply them is multiply the top with the top and it will be the top in the answer and the exact same with the bottoms
6*1= 6
2*1=2
so the fraction is 6/2, since a fraction is basicly a division
6/2 = 3
so the answer to your question is 3
i hope i helped you
Answer:
length=4 1/4
Step-by-step explanation:
- 1 3/4 + 2 1/2
- convert 2 1/2 into 2/4 since 2 is half of 4
- add the converted number and 1 3/4 fractions
- 2/4 and 3/4 added will make 1 1/4
- add 1 1/4, 2 and 1 and it will equal 4 1/4
Answer:
y=12
Step-by-step explanation:
y=2x ,so 2x=8x-x^2
x^2=8x-2x
x^2=6x
x^2/x=6x/x
x=6
y=2x ,2(6)
y=12
