Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
Answer:
![a_1 = 5](https://tex.z-dn.net/?f=a_1%20%3D%205)
![a_n = a_{n-1} + 2](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%20%2B%202)
Step-by-step explanation:
Given
![a_n = 5 + (n - 1)2](https://tex.z-dn.net/?f=a_n%20%3D%205%20%2B%20%28n%20-%201%292)
Required
The equivalent recursive function
The general explicit function is:
![a_n = a_1+ (n - 1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%2B%20%28n%20-%201%29d)
So, by comparison
![a_1 = 5](https://tex.z-dn.net/?f=a_1%20%3D%205)
![d = 2](https://tex.z-dn.net/?f=d%20%3D%202)
The recursion of an arithmetic sequence is:
![a_n = a_{n-1} + d](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%20%2B%20d)
Substitute 2 for d
![a_n = a_{n-1} + 2](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%20%2B%202)
Hence: (a) is correct
Answer:
45/63
Step-by-step explanation:
6 3/10=63/10, 4 1/2=45/10,
(45/10)/(63/10)=45/63
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