Answer:
the formula is a_n = 6n - 5
Step-by-step explanation:
The formula is
Given that
{1, 7, 13, 19, 25, . . . }
The difference between the numbers is
7 - 1 = 6
13 -7 = 6
19 - 13 = 6
a = 1
d = 6
Now the formula is
a_n = a + (n - 1)d
= 1 + (n - 1)6
= 1 + 6n - 6
= 6n - 5
So, the formula is a_n = 6n - 5
This is a proportion which can be obtained just dividing the sizes;
(1/4) / (3/32) = 8/3 ≈ 2.7 times larger
Answer:
5.000 ft
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 785.4 ft³
h = 2r
Calculations:
V = πr²h = πr²(2r) = 2πr³
Divide each side by 2π
Take the cube root of each side
![r = \sqrt[3]{\frac{V }{2\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7BV%20%7D%7B2%5Cpi%7D%7D)
![= \sqrt[3]{\frac{785.4 }{2\pi }}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B785.4%20%7D%7B2%5Cpi%20%7D%7D)
![= \sqrt[3]{125.00}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B125.00%7D)
= 5.000 ft
The radius of the cylinder is 5.000 ft.
Africa is a continent not a country. All the countries inside Africa have their own capitals.
The formula on nth term is l=ar^(n-1)
The 1st term is 2 & r,the ration =3
Then is 2x3^(n-1). Mind you (n-1) is an exponent on 3
