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:
84 degrees
Step-by-step explanation:
To find the measure of angle a you must first find m<CED. To do this remember every triangle has a measure of 180.
180-(43+35)=102, that means m<CED=102. Also m<CED=m<AEB because they are vertical angles. So now do the same operation but for the other triangle 180-(102+18)=84. So m<A=84.
Step-by-step explanation:
4x + 8y = 40
4x + (8×0.8) = 40
4x + 6.4 = 40
4x = 33.6
4x÷4 = 33.6 ÷ 4
x = 8.4
2x+3. that is the answer because 2 and a number is 2x and 3 more than that would be adding 3
105/495
I think that is the answer
