Answer:
Step-by-step explanation:
Given
Recursive: 
Required
Determine the formula
Substitute 2 for n to determine 
Substitute
Next is to determine the common difference, d;
The nth term of an arithmetic sequence is calculated as
Substitute and
Hence, the nth term of the sequence can be calculated using
Answer:17/18
Step-by-step no explation
N = number of nights
M = number of meals
n = cost per night
m = cost per meal
T = total cost
Nn + Mm = T
They give us two scenarios :
1. N = 3 and M = 1 and T = 250
3n + 1m = 250
2. N = 3 and M = 6 and T = 330
3n + 6m = 330
Thus, we have a system of equations.
In the first equation, solve for m.
m = 250 - 3n
Now, plug this into the second equation and solve for n.
3n + 6m = 330
3n + 6(250 - 3n) = 330
3n + 1500 - 18n = 330
-15n = -1170
n = $78
Now, plug this back into our equation for m and solve.
m = 250 - 3n
m = 250 - 3(78)
m = 250 - 234
m = $16
Thus, it costs $78 per night and $16 per meal.
