The 15th term of the arithmetic sequence ![a_{15} = 64](https://tex.z-dn.net/?f=a_%7B15%7D%20%3D%2064)
Option B is correct
The nth term of an arithmetic sequence is given as:
![a_{n} = a + (n - 1)d](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a%20%2B%20%28n%20-%201%29d)
The first value, a = 22
![a_8 = a+(8 - 1)d\\a_8 = a + 7d](https://tex.z-dn.net/?f=a_8%20%3D%20a%2B%288%20-%201%29d%5C%5Ca_8%20%3D%20a%20%2B%207d)
Since ![a_8 = 43](https://tex.z-dn.net/?f=a_8%20%3D%2043)
![43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3](https://tex.z-dn.net/?f=43%20%3D%2022%20%2B%207d%5C%5C7d%20%3D%2043%20-%2022%5C%5C7d%20%3D%2021%5C%5Cd%20%3D%20%5Cfrac%7B21%7D%7B7%7D%5C%5Cd%20%3D%203)
The common difference, d = 3
![a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64](https://tex.z-dn.net/?f=a_%7B15%7D%3D%20a%20%2B%20%2815-1%29d%5C%5Ca_%7B15%7D%20%3D%20a%20%2B%2014d%5C%5Ca_%7B15%7D%20%3D%2022%20%2B%2014%283%29%5C%5Ca_%7B15%7D%20%3D%2022%20%2B%2042%5C%5Ca_%7B15%7D%20%3D%2064)
The 15th term of the arithmetic sequence = 64
Learn more here: brainly.com/question/24072079
Answer: 9 * (5 - y)
Explanation:
Times: multiplication
Difference: subtraction
y: the unknown variable
Answer:
B) 12
Step-by-step explanation:
C is the circumference, d is the diameter, and r is the radius. They are related by the following equations:
d = 2r
C = πd = 2πr
If d = 6.0, then r = 3.0.
If C / C' = 0.25, then:
(2πr) / (2πr') = 0.25
r / r' = 0.25
3 / r' = 0.25
r' = 12