Answer:
C.
![f_n = \left \{ {{f_1=20} \atop {f_n=f_{(n-1)} + 8}; n>1} \right.](https://tex.z-dn.net/?f=f_n%20%3D%20%5Cleft%20%5C%7B%20%7B%7Bf_1%3D20%7D%20%5Catop%20%7Bf_n%3Df_%7B%28n-1%29%7D%20%2B%208%7D%3B%20n%3E1%7D%20%5Cright.)
Step-by-step explanation:
Given:
Sequence: 20, 28, 36, 44,
Required
Find the recursive formula
Let
represents the first term
![f_1 = 20](https://tex.z-dn.net/?f=f_1%20%3D%2020)
Representing the other terms in terms of the previous terms
![f_2 = 28\\f_2 = 20 +8\\f_2 = f_1 + 8](https://tex.z-dn.net/?f=f_2%20%3D%2028%5C%5Cf_2%20%3D%2020%20%2B8%5C%5Cf_2%20%3D%20f_1%20%2B%208)
![f_3 = 36\\f_3 = 28 + 8\\f_3 = f_2 + 8](https://tex.z-dn.net/?f=f_3%20%3D%2036%5C%5Cf_3%20%3D%2028%20%2B%208%5C%5Cf_3%20%3D%20f_2%20%2B%208)
![f_4 = 44\\f_4 = 36 + 8\\f_4 = f_3 + 8](https://tex.z-dn.net/?f=f_4%20%3D%2044%5C%5Cf_4%20%3D%2036%20%2B%208%5C%5Cf_4%20%3D%20f_3%20%2B%208)
Bringing them together, we have
![f_1 = 20\\f_2 = f_1 + 8\\f_3 = f_2 + 8\\f_4 = f_3 + 8](https://tex.z-dn.net/?f=f_1%20%3D%2020%5C%5Cf_2%20%3D%20f_1%20%2B%208%5C%5Cf_3%20%3D%20f_2%20%2B%208%5C%5Cf_4%20%3D%20f_3%20%2B%208)
![f_1 = 20\\f_2 = f_{2-1} + 8\\f_3 = f_{3-1} + 8\\f_4 = f_{4-1} + 8](https://tex.z-dn.net/?f=f_1%20%3D%2020%5C%5Cf_2%20%3D%20f_%7B2-1%7D%20%2B%208%5C%5Cf_3%20%3D%20f_%7B3-1%7D%20%2B%208%5C%5Cf_4%20%3D%20f_%7B4-1%7D%20%2B%208)
Replace each term with n
![f_1 = 20\\f_n = f_{n-1} + 8\\f_n = f_{n-1} + 8\\f_n = f_{n-1} + 8\\Where\\n > 1](https://tex.z-dn.net/?f=f_1%20%3D%2020%5C%5Cf_n%20%3D%20f_%7Bn-1%7D%20%2B%208%5C%5Cf_n%20%3D%20f_%7Bn-1%7D%20%2B%208%5C%5Cf_n%20%3D%20f_%7Bn-1%7D%20%2B%208%5C%5CWhere%5C%5Cn%20%3E%201)
Delete repetition
![f_1 = 20\\f_n = f_{n-1} + 8\\Where\\n > 1](https://tex.z-dn.net/?f=f_1%20%3D%2020%5C%5Cf_n%20%3D%20f_%7Bn-1%7D%20%2B%208%5C%5CWhere%5C%5Cn%20%3E%201)
So, the recursive formula is:
![f_n = \left \{ {{f_1=20} \atop {f_n=f_{(n-1)} + 8}; n>1} \right.](https://tex.z-dn.net/?f=f_n%20%3D%20%5Cleft%20%5C%7B%20%7B%7Bf_1%3D20%7D%20%5Catop%20%7Bf_n%3Df_%7B%28n-1%29%7D%20%2B%208%7D%3B%20n%3E1%7D%20%5Cright.)
Answer:
maybe the palm tree is at 5 the rock at -2 and the sand dollar at 0?
or, somthing like that
Step-by-step explanation:
According to the given expressions, there was used the multiplication property for inequalities because there's being multiplied the number 61 on both sides.